Airfoil shape for first stage compressor stator vane

ABSTRACT

A system is provided, including an airfoil. The airfoil includes a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil includes an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.

BACKGROUND OF THE INVENTION

The subject matter disclosed herein relates to compressor stator vanes, and more specifically, to a first stage compressor stator vane.

Compressors are used in a variety of industries and systems to compress a gas, such as air. For example, gas turbine engines typically include a compressor to provide compressed air for combustion and cooling. Compressors typically include a rotor assembly and a stator assembly. In multi-stage compressors, the rotor assembly may include multiple rows (e.g., rotor stages) each row having multiple rotor blades. Likewise, the stator assembly may include multiple rows (e.g., stator stages) each row having multiple stator vanes. The rotor assembly is designed to rotate with respect to the stator assembly, compressing an intake fluid as the fluid traverses the compressor.

BRIEF DESCRIPTION OF THE INVENTION

Certain embodiments commensurate in scope with the originally claimed subject matter are summarized below. These embodiments are not intended to limit the scope of the claimed invention, but rather these embodiments are intended only to provide a brief summary of possible forms of the subject matter. Indeed, the invention may encompass a variety of forms that may be similar to or different from the embodiments set forth below.

In a first embodiment, a system includes an airfoil. The airfoil includes a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil includes an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.

In a second embodiment, a system includes an airfoil. The airfoil includes a suction side of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the suction side of the nominal airfoil profile at each Z coordinate value, the suction side sections of the suction side of the nominal airfoil profile are coupled together to define the suction side, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.

In a third embodiment, a system includes an airfoil. The airfoil includes a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values are coordinate values that couple together to define airfoil sections of the nominal airfoil profile at each Z coordinate value, the airfoil sections of the nominal airfoil profile are coupled together to define an entirety of the airfoil, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features, aspects, and advantages of the present subject matter will become better understood when the following detailed description is read with reference to the accompanying drawings in which like characters represent like parts throughout the drawings, wherein:

FIG. 1 is a block diagram of an embodiment of a gas turbine system having a multi-stage axial compressor;

FIG. 2 is a cross-sectional side view of an embodiment of the gas turbine engine of FIG. 1, illustrating stages of blades and vanes of the multi-stage axial compressor;

FIG. 3 is side view of an embodiment of an airfoil of a compressor rotor blade or a compressor stator vane;

FIG. 4 is side view of an embodiment of an airfoil of a compressor rotor blade or a compressor stator vane;

FIG. 5 is a side view of an embodiment of an airfoil of the compressor rotor blade or a compressor stator vane; and

FIG. 6 is an axial view of an embodiment of the airfoil of the compressor rotor blade or compressor stator vane of FIGS. 3-5.

DETAILED DESCRIPTION OF THE INVENTION

One or more specific embodiments of the present subject matter will be described below. In an effort to provide a concise description of these embodiments, all features of an actual implementation may not be described in the specification. It should be appreciated that in the development of any such actual implementation, as in any engineering or design project, numerous implementation-specific decisions must be made to achieve the developers' specific goals, such as compliance with system-related and business-related constraints, which may vary from one implementation to another. Moreover, it should be appreciated that such a development effort might be complex and time consuming, but would nevertheless be a routine undertaking of design, fabrication, and manufacture for those of ordinary skill having the benefit of this disclosure.

When introducing elements of various embodiments of the present subject matter, the articles “a,” “an,” “the,” and “said” are intended to mean that there are one or more of the elements. The terms “comprising,” “including,” and “having” are intended to be inclusive and mean that there may be additional elements other than the listed elements.

The disclosed embodiments include a multi-stage axial compressor, which may be a standalone unit or part of a multi-stage rotary machine such as a gas turbine system. In certain embodiments, the multi-stage axial compressor includes a plurality of rotor stages and corresponding stator stages, each rotor stage and stator stage including a plurality of airfoils (e.g., blades or vanes) with a specific airfoil profile. During operation, a compressible fluid (e.g., gas such as air, oxygen, oxygen enriched air, oxygen reduced air, exhaust gas, nitrogen, etc.) may enter the multi-stage axial compressor through an inlet system, and each stage of the multi-stage axial compressor will generally increase the pressure and temperature of the compressible fluid by a certain amount. In a gas turbine system, a compressed fluid may then be delivered, for example, via an outlet system, to a combustor for combustion with a fuel. The amount of pressure and temperature increase at each stage of the multi-stage axial compressor may depend on particular operating conditions, such as speed, inlet boundary conditions (e.g., flow, pressure, temperature, composition, and so forth), outlet boundary conditions (e.g., flow resistance, and so forth), and stage efficiency.

During compression, an energy level of the compressible fluid may increase as the compressible fluid flows through the multi-stage axial compressor due to the exertion of a torque on the fluid by the rotating rotor blades. The stator's stationary vanes slow the compressible fluid, converting a circumferential component of the flow into pressure. An airfoil profile or design of the airfoil (e.g., rotor blades and/or stator vanes) may directly affect compression of the compressible fluid. Airfoil profiles described herein may be more optimized and matched for specific velocities and turning speeds. Further, the airfoil profiles described herein may be more optimized for specific stages of the multi-stage axial compressor with a specific total number of stages. Additionally, the airfoil profiles described herein may be designed for compressor rotor blades, compressor stator vanes, or any combination thereof. In certain embodiments, the airfoil profiles described herein may be designed for compressor rotor blades and/or compressor stator vanes in any one or more stages of a multi-stage axial compressor. For example, the airfoil profiles described herein may be designed for compressor rotor blades and/or compressor stator vanes in stage 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and/or 14. As another example, the airfoil profiles described herein may be designed for a first stage airfoil, more specifically, a first stage stator vane, of an axial compressor having between 12 and 14 stages. The airfoils (e.g., blades or vanes) described herein may be described in terms of X, Y, and Z values set forth in certain table(s) described herein that define airfoil sections of the airfoils. In certain embodiments the X, Y, and Z values may describe suction side airfoil surfaces, pressure side airfoil surfaces, or a combination thereof. The X, Y, and Z values may include coordinate values in a Cartesian coordinate system, including negative and positive values denoting sides that are opposite to each other from a certain axis (e.g., X, Y, Z axis).

Turning now to FIG. 1, the figure is a block diagram of an embodiment of a turbine system 10 that includes a gas turbine engine 12 and a controller 14 (e.g., electronic and/or processor-based controller). The controller 14 may be communicatively coupled to a variety of sensors 16 and actuators 18 disposed in various components of the gas turbine engine 12. Signals received via the sensors 16 may be used to derive control actions executable via the actuators 18. The illustrated gas turbine engine 12 includes a compressor 20 (e.g., a multi-stage axial compressor or compressor section), a turbine 22 (e.g., a multi-stage turbine or turbine section), and fuel nozzles 24 coupled to one or more combustors 26 (e.g., combustor section). The compressor 20 and turbine 22 each may have any number of rows stages of rotor blades and stator vanes (e.g., 1 to 20). As discussed in detail below, an embodiment of an airfoil profile is provided for use with airfoils (e.g., rotor blades or stator vanes) in one or more stages of the compressor 20. However, before presenting details of the airfoil profile, the following discussion provides a brief description of the gas turbine engine 12 and its operation.

In operation, the compressor 20 is configured to compress a compressible fluid (e.g., gas such as air, oxygen, and/or exhaust gas), and deliver the compressed fluid to the fuel nozzles 24 and/or combustors 26. Although the compressible fluid may include any suitable gas, the following discussion may generally refer to the compressible fluid as an oxidant (e.g., air) as one non-limiting example. The fuel nozzles 24 are configured to supply fuel (e.g., from one or more fuel supplies) into the one or more combustors 26 (e.g., in combustion chambers), which combust the fuel with the oxidant (e.g., air) to generate hot combustion gases to drive the turbine 22. The fuel nozzles 24 may be designed as pre-mix fuel nozzles 24 and/or diffusion fuel nozzles 24. Pre-mix fuel nozzles 24 mix the fuel with the oxidant (e.g., air) to create pre-mix type flames. Diffusion fuel nozzles 24 do not premix the fuel with the oxidant, and thus create diffusion type flames. Regardless of the type of flames, the hot combustion gas flows from the combustors 26 into the turbine 22, thereby driving rotation of one or more stages of turbine blades coupled to a turbine rotor and shaft 30 along an axis 32. Eventually, the hot combustion gas exits the turbine 22 through an exhaust outlet 28 (e.g., exhaust stack, exhaust end). In the illustrated embodiment, the shaft 30 is coupled to the compressor 20 and a load 36, such that rotation of the shaft 30 also drives rotation of the compressor 20 and the load 36. The compressor 20 may intake the oxidant (e.g., air) through an air intake 34, which may include filters, thermal control systems, or any other preconditioning systems. The load 36 may include an electrical generator, a rotary machine, a propulsion system of a vehicle, or any other suitable device.

The airfoil profile described in further detail below may be used in any stage of the compressor 20 (e.g., multi-stage axial compressor with any number of stages of rotor blades and stator vanes). The compressor 20 may include rotating blades and stationary vanes (e.g., airfoils) that may be disposed in rows or stages, described in more detail below. The oxidant (e.g., air) may be progressively compressed in stages or rows of rotating blades and corresponding stator vanes as the air moves downstream in the compressor 20. In the depicted embodiment, the compressor 20 is a multi-stage axial compressor 20 having at least two rows or stages of blades and vanes. For example, in certain embodiments, the multi-stage axial compressor 20 may have 14 rows or stages of compressor blades and vanes.

It may be beneficial to illustrate a more detailed view of certain components of the gas turbine engine 12. Accordingly, FIG. 2 is a cross-sectional side view of an embodiment of the compressor 20 of the gas turbine engine 12 of FIG. 1. Throughout the discussion of FIG. 2, a set of axes will be referenced. These axes are based on a cylindrical coordinate system and point in an axial direction 38 (e.g., downstream), a radial direction 40, and a circumferential direction 42. For example, the axial direction 38 extends downstream through the compressor 20 generally parallel to the axis 32, the radial direction 40 extends away from the axis 32, and the circumferential direction 42 extends around the axis 32.

In operation, air enters the compressor 20 in the axial direction 38 through the air intake 34 and may be pressurized in the multi-stage axial compressor 20. The compressed air may then be mixed with fuel for combustion within the combustor 26 to drive the turbine 22 to rotate the shaft 30 in the circumferential direction 42 and, thus, the multi-stage axial compressor 20 and the load 36. The rotation of the shaft 30 also causes one or more blades 44 (e.g., compressor rotor blades) within the multi-stage axial compressor 20 to draw in and pressurize the air received by the air intake 34.

The multi-stage axial compressor 20 may include a rotor assembly 46 having multiple rotor blades 44 surrounded by a static casing 48 having multiple stator vanes 50 (e.g., variable stator vanes and/or fixed stator vanes). In some embodiments, the static casing 48 of the compressor 20 or the air intake 34 may have one or more sets of inlet guide vanes 52 (IGVs) (e.g., variable IGV stator vanes) that may control flows into the compressor 20. Each variable stator vane 50 (including each variable IGV stator vane 52) may be configured to vary its vane angle relative to the gas flow (e.g. air flow) by rotating the vane 50, 52 about an axis of rotation (e.g., radially oriented vane shaft). However, each variable stator vane 50 may be otherwise stationary relative to the rotor blades 44. In certain embodiments, each variable stator vane 50 may be coupled to an actuator 18 (e.g., electric drive, pneumatic drive, or hydraulic drive), which is coupled to a controller 14 configured to vary the vane angle in response to feedback from sensors 16. Each fixed stator vane 50 may be configured to remain in a fixed angular position, such that the vane angle does not vary. The compressor 20 may include a plurality of rows or stages 54, such as between 2 to 30, 2 to 25, 2 to 20, 2 to 14, or 2 to 10 rows or stages, or any specific number or range therebetween. In each stage, the multi-stage axial compressor 20 may include 2 to 1000, 5 to 500, or 10 to 100 rotor blades 44, and 2 to 1000, 5 to 500, or 10 to 100 stator vanes 50. In particular, the illustrated embodiment of the multi-stage axial compressor 20 includes 14 stages. It may be appreciated that each stage 54 has a set of rotor blades 44 disposed at a first axial position and a set of stator vanes 50 disposed at a second axial position along the length of the compressor 20. In other words, each stage 54 has the rotor blades 44 and stator vanes 50 axially offset from one another, such that the compressor 20 has an alternating arrangement of rotor blades 44 and stator vanes 50 one set after another along the length of the compressor 20. Each set of rotor blades 44 extends (e.g., in a spaced arrangement) in the circumferential direction 42 about the shaft 30, and each set of stator vanes 50 extends (e.g., in a spaced arrangement) in the circumferential direction 42 within the static casing 48. While the compressor 20 may include greater or fewer stages 54 than 14, FIG. 2 illustrates an embodiment of the compressor 20 with 14 stages 54 identified as follows: first stage 54 a, second stage 54 b, third stage 54 c, fourth stage 54 d, fifth stage 54 e, sixth stage 54 f, seventh stage 54 g, eighth stage 54 h, ninth stage 54 i, tenth stage 54 j, eleventh stage 54 k, twelfth stage 54 l, thirteenth stage 54 m, and fourteenth stage 54 n. In certain embodiments, each stage 54 may include rotor blades 44 and stator vanes 50 (e.g., fixed stator vanes 50 and/or variable stator vanes 50). For example, in certain embodiments, earlier stages 54 (e.g., 54 a, 54 b, 54 c, etc.) may include variable stator vanes 50, while later stages 54 may include fixed stator vanes 50.

The airfoil described in the TABLE I below may describe either a rotor blade 44 or a stator vane 50 of the compressor 20. For example, the airfoil described in the TABLE I below may be placed as a stator vane 50 of the first stage 54 a. In use, the rotor blades 44 may rotate circumferentially about the static casing 48 and the stator vanes 50. Rotation of the rotor blades 44 may result in air entering the air intake 34. The air is then subsequently compressed as it traverses the various stages 54 (e.g., first stage 54 a to fourteenth stage 54 n) of the compressor 20 and moves in the axial direction 38 downstream of the multi-stage axial compressor 20. The compressed air may then exit through an outlet 56 of the multi-stage axial compressor 20. The outlet 56 may have a set of exit guide vanes 58 (EGVs). The compressed air that exits the compressor 20 may be mixed with fuel, directed to the combustor 26, directed to the turbine 22, or elsewhere in the turbine system 10.

Certain designs of the rotor blades 44 and stator vanes 50 (e.g., airfoils) provide for a more efficient multi-stage axial compressor 20 system. For example, certain rotor blade and/or stator vane (e.g., airfoil) designs may improve compressor 20 efficiency and enable improved operations for the turbine system 10. Referring now to FIG. 3, the figure is a side view of an embodiment of an airfoil 82 that may be included in the multi-stage axial compressor 20 as a rotor blade 44 or stator vane 50. In the particular embodiment, the airfoil 82 may be included in the first stage 54 a of the multi-stage axial compressor 20 as a stator vane 50. In the depicted embodiment, the airfoil 82 is disposed on a base 60, which may, in certain embodiments, be removably coupled as a rotor blade 44 to the rotor assembly 46. That is, the base 60 having the airfoil 82 may be removed from the rotor assembly 46, for example, to inspect, repair, and/or replace the airfoil 82. Additionally, or in the alternative, the airfoil 82 may be removably coupled as a stator vane 50 to the static casing 48. That is, the base 60 having the airfoil 82 may be removed from the static casing 48, for example, to inspect, repair, and/or replace the airfoil 82. The base 60 may include a removable mount or coupling 59, such as a dovetail joint. For example, the coupling 59 may include a T-shaped structure, a hook, one or more lateral protrusions, one or more lateral slots, or any combination thereof. The coupling 59 (e.g., dovetail joint) may be configured to mount into the rotor assembly 46 or the static casing 48 in an axial direction 38, a radial direction 40, and/or a circumferential direction 42 (e.g., into an axial slot or opening, a radial slot or opening, and/or a circumferential slot or opening).

As further described herein, the airfoil 82 includes a suction side 62 and a pressure side 64 disposed opposite from one another on the airfoil 82 (i.e., opposite faces). The airfoil 82 also includes leading and trailing edges 61 and 63 disposed opposite from one another on the airfoil 82 (e.g., opposite upstream and downstream edges). The suction side 62, the pressure side 64, the leading edge 61, and the trailing edge 63 generally extend from the base 60 to a tip 68 of the airfoil 82. The leading and trailing edges, 61 and 63 respectively, may be described as the dividing or intersecting lines between the suction side 62 and the pressure side 64. In other words, the suction side 62 and the pressure sides 64 couple together with one another along the leading edge 61 and the trailing edge 63, thereby defining an airfoil shaped cross-section that gradually changes lengthwise along the airfoil 82. The airfoil profile described in further detail below may be utilized along any portion or the entirety of the airfoil 82 between the base 60 and the tip 68. For example, the portion having the disclosed airfoil profile may include all or part of the suction side 62, all or part of the pressure side 64, or a combination thereof

In operation, the rotor blades 44 rotate about an axis 66 exerting a torque on a working fluid, such as air, thus increasing energy levels of the fluid as the working fluid traverses the various stages 54 of the multi-stage axial compressor 20 on its way to the combustor 26. The suction side 62 creates and/or increases a suction force on the working fluid, while the pressure side 64 creates and/or increases a pressure bias on the working fluid. The rotor blades 44 may be adjacent (e.g., upstream and/or downstream) to the one or more stationary stator vanes 50. The stator vanes 50 slow the working fluid during rotation of the rotor blades 44, converting a circumferential component of movement of the working fluid flow into pressure. Accordingly, continuous rotation of the rotor blade 44 creates a continuous flow of compressed working fluid, suitable for combustion via the combustor 26.

The airfoil 82 (e.g., rotor blade 44, stator vane 50) includes an airfoil length L measured from the tip 68 of the airfoil 82 to a bottom region 70 of the airfoil 82 adjacent the base 60 (e.g., at an intersection of the airfoil 82 with the base 60). An X axis 72 lies parallel to the base 60 and to the rotational axis 66. The rotational axis 66 may be parallel to the axis 32 or the shaft 30. The X axis 72 is orthogonal to a Z axis 74 which bisects the airfoil 82. A Y axis 76 (shown coming out of the plane of the drawing) is orthogonal to both the X axis 72 and the Z axis 74. The X axis 72 and the Y axis 76 may be used to define an airfoil profile, shape, or section, for example, taken through line 6-6 at a point along the Z axis 74. That is, the airfoil profile may include an outline of the surface (e.g., section) of the airfoil 82 (e.g., rotor blade 44, stator vane 50) at a point along the Z axis 74. The airfoil profile may include X, Y, and Z values for the suction side 62, and X, Y, and Z values for the pressure side 64. A Cartesian coordinate system point 78 (e.g., origin) may be used to define a zero point for the X axis 72, the Z axis 74, and the Y axis 76 of the respective airfoil 82. TABLE I below lists various non-dimensionalized airfoil shapes for the suction side 62 and the corresponding pressure side 64 disposed at locations along the Z axis 74 from the bottom region 70 to the tip 68 of the airfoil 82.

The airfoil 82 may be described in terms of certain airfoil sections containing various air foil shapes and corresponding rows of the TABLE I. For example, as illustrated in FIG. 4, the airfoil 82 may be described via airfoil shapes disposed on one or more portions 80. In certain embodiments, the portion 80 of the airfoil 82 may be described as an area of interest, an area of greater importance, or a sweet spot, wherein the particular airfoil profile may have a greater impact on the performance, efficiency, and other attributes of the airfoil 82 as compared with other areas of the airfoil 82. However, the portion 80 may include any area of the airfoil 82, regardless of importance. The one or more portions 80 may include a suction side portion of the suction side 62, a pressure side portion of the pressure side 64, or any combination thereof. For example, the one or more portions 80 may include suction side portions 62 and pressure side portions 64 that are offset from one another without any overlap along the Z axis 74, suction side portions 62 and pressure side portions 64 that partially overlap along the Z axis 74, or suction side portions 62 and pressure side portions 64 that completely overlap along the Z axis 74. Portion 80 is shown as a rectangle in dashed lines. More specifically, FIG. 4 is a side view of an embodiment of the airfoil 82 illustrating the portion 80. As described above, the airfoil 82 may be the rotor blade 44 or the stator vane 50, such as the stator vane 50 of the first stage 54 a. Because the figure depicts like elements to FIG. 3, the like elements are illustrated with like numbers. In the depicted embodiment, the airfoil 82 includes the length L (e.g., total length), as mentioned previously, measured along the Z axis 74 (e.g., in the radial direction 40) from the tip 68 of the airfoil 82 to the bottom region 70 of the airfoil 82.

The portion 80 may begin at a distance or position d and include a length l extending away from the base 60 in the Z direction along the Z axis 74. As appreciated, in embodiments having one or more suction side portions 80 on the suction side 62 and/or one or more pressure side portions 80 on the pressure side 64, each portion 80 may be defined by a length l and a position d. A zero value of the position d corresponds to the bottom region 70 of the airfoil 82 adjacent the base 60 (e.g., at an intersection of the airfoil 82 with the base 60), which also corresponds to the coordinate origin 78. When d is zero and l is equal to L, the portion 80 includes the entirety of the airfoil 82 from the bottom region 70 to the tip 68 of the airfoil 82. By varying values for d and l, portions 80 having varying lengths and start locations from the coordinate origin 78 may be provided for defining the area of interest (e.g., sweet spot) along the airfoil 82. Each portion 80 may include one or more adjacent airfoil shapes (e.g., airfoil sections or airfoil shapes 110) “stacked” on top of each other along the Z axis 74, described in more detail below with respect to FIG. 6 and TABLE I below. Each airfoil section or airfoil shape 110 corresponds to Cartesian coordinate values of X, Y, and Z for a common Cartesian coordinate value of Z in TABLE I. Furthermore, adjacent airfoil sections or airfoil shapes 110 correspond to the Cartesian coordinate values of X, Y, and Z for adjacent Cartesian coordinate values of Z in the TABLE I.

With reference to TABLE I, the position d may be used to define a start position (e.g., first Cartesian coordinate value of Z) of the portion 80 in the Z direction along the Z axis 74, while a sum of the position d and the length l may be used to define an end position (e.g., last Cartesian coordinate value of Z) of the portion 80 in the Z direction along the Z axis 74. In certain embodiments, the position d (e.g., start position) may be selected directly from one of the Cartesian coordinate values of Z in TABLE I, and the sum of the position d and the length l (e.g., end position) may be selected directly from one of the Cartesian coordinate values of Z in TABLE I. In other embodiments, the desired values of the position d and the length l may be initially selected without referencing TABLE I, and then TABLE I may be subsequently analyzed to select best fits of the Cartesian coordinate values of Z in TABLE I based on the desired values of d and l. For example, with reference to TABLE I, the start position of the portion 80 may correspond to the Cartesian coordinate value of Z equal to or nearest to the value of the position d (e.g., start Z value). If the position d is midway between adjacent Cartesian coordinate values of Z in TABLE I, then the lesser or greater Cartesian coordinate value of Z may be selected for the start position of the portion 80 (e.g., start Z value). Alternatively, in some embodiments, if a specific value of the position d is desired but does not match the specific Cartesian coordinate values of Z in TABLE I, then regression analysis and/or curve fitting may be used to analyze the data in TABLE I and interpolate new Cartesian coordinate values of X, Y, Z to enable use of the desired d value. Similarly, with reference to TABLE I, the end position (e.g., end Z value) may correspond to the Cartesian coordinate value of Z equal to or nearest to the sum of the position d and the length l. If the sum of the position d and the length l is midway between adjacent Cartesian coordinate values of Z in TABLE I, then the lesser or greater Cartesian coordinate value of Z may be selected for the end position (e.g., end Z value). Alternatively, in some embodiments, if a specific value of the length l is desired but the sum of the position d and the length l does not match the specific Cartesian coordinate values of Z in TABLE I, then regression analysis and/or curve fitting may be used to analyze the data in TABLE I and interpolate new Cartesian coordinate values of X, Y, Z to enable use of the desired l value.

In certain embodiments, the portion 80 may be defined by the Cartesian coordinate values of X, Y, and Z corresponding to the start Z value, the end Z value, and all intermediate Z values in TABLE I. However, in some embodiments, if the Z values do not match the desired start and end positions, then the portion 80 may be defined by the Cartesian coordinate values of X, Y, and Z in TABLE I in the Z direction between the start and end positions (e.g., based on the position d and length l). Furthermore, as discussed herein, the portion 80 may include the Cartesian coordinate values of X, Y, and Z for the suction side 62 (e.g., suction side profile 112—see FIG. 6), the pressure side 64 (e.g., pressure side profile—see FIG. 6), or a combination thereof.

In certain embodiments, the portion 80 may include the airfoil profile of TABLE I only for the suction side 62 according to the position d and length l, only for the pressure side 64 according to the position d and length l, or for both the suction and pressure sides 62 and 64 according to the position d and length l. The position d of the portion 80 may be greater than or equal to approximately 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, or 75 percent of the length L of the airfoil 82. Furthermore, the length l of the portion 80 may be greater than or equal to approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, or 100 percent of the length L of the airfoil 82. For example, the portion 80 selected from TABLE I may be the suction side 62 of the outer third of the airfoil 82. In another example, the portion 80 selected from TABLE I may be both the suction side 62 and the pressure side 64 of an interior portion 80 of the airfoil 82, where d is greater than 0 and l is less than L (e.g., l=0.3 L).

Additionally or alternatively, a portion of the airfoil 82, such as portion 80, may be described in terms of a start height (e.g., first position) and a stop height (e.g., second position) along the Z axis 74 (e.g., in the radial direction 40) as illustrated in FIG. 5. Collectively, the start and stop heights (e.g., first and second positions) define a range along the Z axis 74. Again, the portion (e.g., 80) of the airfoil 82 may be described as an area of interest, an area of greater importance, or a sweet spot, wherein the particular airfoil profile may have a greater impact on the performance, efficiency, and other attributes of the airfoil 82 as compared with other areas of the airfoil 82. However, the portion (e.g., 80) may include any area of the airfoil 82, regardless of importance. For example, as shown in FIG. 5, an embodiment of the airfoil 82 is illustrated with multiple defined heights 90, 92, 94, 96, 98, and 100 along the Z axis 74. The heights 90, 92, 94, 96, 98, and 100 may divide the airfoil 82 into a plurality of portions along the Z axis 74, wherein the plurality of portions may have equal lengths along the Z axis 74 (e.g., five portions each being 20 percent of the total length L of the airfoil 82). However, in some embodiments, the plurality of portions defined by the heights 90, 92, 94, 96, 98, and 100 may have different lengths along the Z axis 74. Although the illustrated embodiment includes 6 heights (e.g., 90, 92, 94, 96, 98, and 100) defining 5 portions, certain embodiments may include any number of heights (e.g., 2 to 100 or more) defining any number of portions (e.g., 2 to 100 or more) with equal or different lengths along the Z axis 74.

For example, certain embodiments may include 11 heights to define 10 portions with equal or different lengths along the Z axis 74 (e.g., 10 portions each being 10 percent of the total length L of the airfoil 82). By further example, certain embodiments may include 101 heights to define 100 portions with equal or different lengths along the Z axis 74 (e.g., 100 portions each being 1 percent of the total length L of the airfoil 82). In this manner, the heights may be used to define a specific portion (e.g., 80) of the airfoil 82, wherein the specific portion (e.g., area of interest) may track the airfoil profile described below in TABLE I. Again, similar to the discussion of FIG. 4, the specific portion (e.g., 80) defined by the heights in FIG. 5 may track the airfoil profile of TABLE I along only the suction side 62, only the pressure side 64, or both the suction and pressure sides 62 and 64. Because FIG. 5 depicts like elements to FIG. 4, the like elements are illustrated with like numbers.

In the illustrated embodiment, the portion (e.g., 80) may be defined by the start height and the stop height, wherein the start height is closer to the bottom region 70 than the stop height, and each of the start and stop heights may be selected from one of the heights 90, 92, 94, 96, 98, or 100. Multiple start and stop heights 90, 92, 94, 96, 98, 100 may be defined to divide the airfoil 82 and define the portion (e.g., 80). For example, a first start height 92 and a first stop height 90 may describe a first section or segment 102 (e.g., portion 80) of the airfoil 82, a second start height 96 and a second stop height 92 may describe a second section or segment 104 (e.g., portion 80) of the airfoil 82, and a third start height 96 and a third stop height 94 may describe a third section or segment 106 (e.g., portion 80) of the airfoil 82. As shown in FIG. 5, each height 90, 92, 94, 96, 98, 100 may define a start height for a segment, a stop height for the segment, or a start height for one segment and a stop height for another segment. Each of the heights 90, 92, 94, 96, 98, 100 may be selected to correspond to a different Cartesian coordinate value of Z in TABLE I. In certain embodiments, each of the heights 90, 92, 94, 96, 98, 100 may be selected directly from one of the Cartesian coordinate values of Z in TABLE I. In other embodiments, the desired values of the heights 90, 92, 94, 96, 98, 100 may be initially selected without referencing TABLE I, and then TABLE I may be subsequently analyzed to select best fits of the Cartesian coordinate values of Z in TABLE I based on the desired values of the heights 90, 92, 94, 96, 98, 100. For example, each of the heights 90, 92, 94, 96, 98, 100 may correspond to the Cartesian coordinate value of Z equal to or nearest to the value of the particular height 90, 92, 94, 96, 98, or 100. If the height 90, 92, 94, 96, 98, or 100 is midway between adjacent Cartesian coordinate values of Z in TABLE I, then the lesser or greater Cartesian coordinate value of Z may be selected for the particular height 90, 92, 94, 96, 98, or 100. Alternatively, in some embodiments, if specific heights are desired but do not match the specific Cartesian coordinate values of Z in TABLE I, then regression analysis and/or curve fitting may be used to analyze the data in TABLE I and interpolate new Cartesian coordinate values of X, Y, Z to enable use of the desired heights. In some embodiments, if the Z values do not match the desired heights, then the portion 80 may be defined by the Cartesian coordinate values of X, Y, and Z in TABLE I in the Z direction between the start and stop heights. Furthermore, with reference to TABLE I, the overall height dimension of each segment (e.g., 102, 104, 106) may be equal to an absolute value of the difference between the start and stop heights (e.g., Cartesian coordinate values of Z) for the particular segment. In certain embodiments, an offset or correction value may be used to account for negative values in TABLE I. For example, certain components of the airfoil 82, such as the bottom region 70, may be disposed below the origin point 78 by a distance 108, and thus certain Z values may be negative denoting sections of airfoil 82 below the origin point 78. Accordingly, the offset may be equal to an absolute value of the smallest negative value given in TABLE I.

As mentioned earlier with respect to the portion 80 of FIG. 4, the sections 102, 104, and 106 (e.g., portion 80) of FIG. 5 may include one or more airfoil shapes, profiles, or sections, such as an airfoil shape shown in FIG. 6. More specifically, FIG. 6 is a cross-sectional top view depicting an embodiment of an airfoil shape 110 taken through line 6-6 of FIGS. 3, 4, and 5, wherein the airfoil shape 110 may be included, for example, in the portion 80 of the airfoil 82 (e.g., rotor blade 44, stator vane 50). As mentioned earlier, the airfoil 82 may be described in terms of one or more airfoil shapes (e.g., sections) “stacked” on top of each other along the Z axis 74, such as the depicted airfoil shape 110. To define the airfoil shape 110, a unique set or loci of points in space are provided in TABLE I.

A Cartesian coordinate system of X, Y, and Z values given in TABLE I below defines a suction side profile 112 and a pressure side profile 114 of the airfoil shape 110 at various locations along the airfoil 82. For example, point 116 defines a first pair of suction side X and Y values at the Z value of line 6-6 of FIGS. 3-5, while point 118 defines a second pair of pressure side X and Y values at the same Z value of FIGS. 3-5. The X, Y, and Z values of TABLE I are set forth in non-dimensionalized units, and thus a variety of units of dimensions may be used when the values are appropriately scaled by a scale factor F. The scale factor F may be substantially equal to 1, greater than 1, or less than 1. For example, the Cartesian coordinate values of X, Y, and Z may be convertible to dimensional distances by multiplying the X, Y, and Z values by a constant number (e.g., 100). The number, used to convert the non-dimensional values to dimensional distances, may be a fraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25, etc.), integer (e.g., 1, 2, 10, 100, etc.) or a mixed number (e.g., 1½, 10¼, etc.). The dimensional distances may be any suitable format (e.g., inches, feet, millimeters, centimeters, etc.) These values exclude a coated region or coatings 120 of the airfoil 82. In other words, these values correspond to the bare surface of the airfoil 82. The coated region 120 may include one or more coating layers, surface treatments, or a combination thereof, over the bare surface of the airfoil 82. The Cartesian coordinate system of FIG. 6 utilizes the same orthogonally-related X axis 72, Y axis 76, and Z 74 as the Cartesian coordinate system of FIGS. 3-5 to define locations on the airfoil shape 110 for both the suction side profile 112 and the pressure side profile 114 along the length L of the airfoil 82.

The X axis 72 and the Y axis 76 lie parallel to the base 60, as illustrated in the previous figures. In some embodiments, a positive X coordinate value is axial in the downstream axial direction 38 toward the aft, for example the exhaust outlet 28 of the multi-stage axial compressor 20. In some embodiments, a positive Y coordinate value is directed normal to the X axis 72. A positive Z coordinate value is directed radially from the X axis 72 and the Y axis 76 outward toward tip 68 of the airfoil 82, which is towards the static casing 48 of the multi-stage axial compressor 20 for rotor blades 44, and directed radially inward towards the shaft 30 of the multi-stage axial compressor 20 for stator vanes 50.

By defining X and Y coordinate values at selected locations in a Z direction normal to the X-Y plane, the airfoil shape 110, with its suction side profile 112 and pressure side profile 114, may be defined, for example, by connecting each X and Y coordinate value to adjacent X and Y coordinate values with smooth continuing arcs. The suction side profile 112 is joined to the pressure side profile 114, as shown in FIG. 6, to define the airfoil shape 110. The airfoil shapes 110 (e.g., sections) of the airfoil 82 at various surface locations (e.g., heights) between the Z coordinate values may be determined by smoothly connecting the adjacent (e.g., “stacked”) airfoil shapes 110 to one another, thus forming the airfoil 82. It may be appreciated that the airfoil shape 110 of the airfoil 82 may change from the base 60 to the tip 68. For example, adjacent airfoil shapes 110 may taper or expand in one or more directions (e.g., X axis 72, Y axis 76), adjacent airfoil shapes 110 may rotate about an axis (e.g., Z axis 74) in a clockwise direction or a counter-clockwise direction, or any combination thereof. It is also to be noted that TABLE I values represent the Cartesian coordinate values for the airfoil 82 at ambient, non-operating or non-hot conditions. Additionally, TABLE I values represent the Cartesian coordinate values for an uncoated airfoil (i.e., without coatings 120). For a coated airfoil, a thickness t of the coating 120 may be added to each of the X, Y values of TABLE I below.

The X, Y, and Z coordinate values of TABLE I below are non-dimensional values convertible to dimensional distances with the scale factor F. That is, the X, Y, and Z values of TABLE I may be scaled as a function of the same scale factor F (e.g., constant or number) to provide a scaled-up or a scaled-down airfoil. Thus, TABLE I defines the relationships between the X, Y, and Z coordinate values without specifying the units of measure (e.g., dimensional units) for an embodiment of the airfoil 82. Accordingly, while different scale factors F may be applied to the X, Y, and Z coordinate values of TABLE I to define different embodiments of the airfoil 82, each embodiment of the airfoil 82 regardless of the particular scale factor F is considered to be defined by the X, Y, and Z coordinate values of TABLE I. For example, the X, Y, and Z coordinate values of TABLE I define a first embodiment of the airfoil 82 formed with a 1:1 inch scale factor F, a second embodiment of the airfoil 82 formed with a 1:2 inch scale factor F, and a third embodiment of the airfoil 82 formed with a 1:1 cm scale factor F. It may be appreciated that any scale factor F may be used with the X, Y, and Z coordinate values of TABLE I, according to the design considerations of a particular embodiment.

The TABLE I values below are computer-generated and shown to five decimal places. However, certain values in TABLE I may be shown to less than five decimal places (e.g., 0, 1, 2, 3, or 4 decimal places), because the values are rounded to significant figures, the additional decimal places would merely show trailing zeroes, or a combination thereof. Accordingly, in certain embodiments, any values having less than five decimal places may be shown with trailing zeroes out to 1, 2, 3, 4, or 5 decimal places. Furthermore, in some embodiments and in view of manufacturing constraints, actual values useful for forming the airfoil 82 are may be considered valid to fewer (e.g., one, two, three, or four) decimal places for determining the airfoil shape 110 of the airfoil 82. Further, there are typical manufacturing tolerances which may be accounted for in the airfoil shape 110. Accordingly, the X, Y, and Z values given in TABLE I are for the airfoil shape 110 of a nominal airfoil. It will therefore be appreciated that plus or minus typical manufacturing tolerances are applicable to these X, Y, and Z values and that an airfoil 82 having a profile substantially in accordance with those values includes such tolerances. For example, in certain embodiments, a manufacturing tolerance of about ± between 0.001 to 0.20 inches (e.g., between 0.025 to 5 mm) is within design limits for the airfoil 82, and a manufacturing tolerance of about ±0.0008 to 0.1 inches (e.g., 0.02 to 2.5 mm) may be maintained during manufacturing. Accordingly, the values of X and Y carried to three decimal places and having a manufacturing tolerance about ±0.010 inches (0.25 mm) and preferably about ±0.008 inches (0.20 mm) is acceptable to define the airfoil shape 110 of the airfoil 82 at each radial position (e.g., Z coordinate, height) throughout its entire length. As used herein, any reference to Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of N decimal places is intended to include: (1) values to N decimal places if shown in TABLE I with N or greater decimal places, and (2) values to less than N decimal places if shown in TABLE 1 with less than N decimal places, wherein N may be 0, 1, 2, 3, 4, or 5. For example, any reference to Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of three (3) decimal places is intended to include: (1) values to three (3) decimal places if shown in TABLE I with three (3) or greater decimal places, and (2) values to less than three (3) decimal places if shown in TABLE 1 with less than three (3) decimal places (e.g., 0, 1, or 2 decimal places). Furthermore, any reference to Cartesian coordinate values of X, Y, and Z as set forth in TABLE I all carried to N decimal places is intended to include: (1) values to N decimal places if shown in TABLE I with N or greater decimal places, and (2) values with trailing zeros to N decimal places if shown in TABLE 1 with less than N decimal places, wherein N may be 0, 1, 2, 3, 4, or 5.

As noted previously, the airfoil 82 may also be coated for protection against corrosion, erosion, wear, and oxidation after the airfoil 82 is manufactured, according to the values of TABLE I and within the tolerances explained above. For example, the coating region 120 may include one or more corrosion resistant layers, erosion resistant layers, wear resistant layers, oxidation resistant or anti-oxidation layers, or any combination thereof. An anti-corrosion coating may be provided with an average thickness t of 0.008 inches (0.20 mm), between 0.001 and 0.1 inches (between 0.25 and 2.5 mm), between, 0.0001 and 1 inches or more (between 0.0025 and 2.5 mm or more). For example, in certain embodiments, the coating 120 may increase X and Y values of a suction side in TABLE I by no greater than approximately 3.5 mm along a first suction portion, a first pressure portion, or both. It is to be noted that additional anti-oxidation coatings 120 may be provided, such as overcoats.

TABLE I Pressure Surface Suction Surface N X Y Z X Y Z 1 −1.49059 −1.89340 18.60080 1.81098 1.18399 18.60080 2 −1.48974 −1.89373 18.60080 1.81061 1.18540 18.60080 3 −1.48797 −1.89424 18.60080 1.80979 1.18768 18.60080 4 −1.48432 −1.89468 18.60080 1.80676 1.19262 18.60080 5 −1.47707 −1.89355 18.60080 1.79895 1.19820 18.60080 6 −1.46667 −1.88869 18.60080 1.78224 1.19818 18.60080 7 −1.45041 −1.87590 18.60080 1.76077 1.19426 18.60080 8 −1.43156 −1.85574 18.60080 1.73216 1.18886 18.60080 9 −1.40903 −1.82662 18.60080 1.69408 1.18140 18.60080 10 −1.38264 −1.78889 18.60080 1.64655 1.17164 18.60080 11 −1.34895 −1.73944 18.60080 1.58494 1.15819 18.60080 12 −1.31059 −1.68202 18.60080 1.51405 1.14174 18.60080 13 −1.27006 −1.62051 18.60080 1.43867 1.12321 18.60080 14 −1.22471 −1.55116 18.60080 1.35893 1.10217 18.60080 15 −1.17443 −1.47403 18.60080 1.27030 1.07684 18.60080 16 −1.11910 −1.38920 18.60080 1.16842 1.04504 18.60080 17 −1.06095 −1.30072 18.60080 1.06284 1.00894 18.60080 18 −0.99951 −1.20890 18.60080 0.95381 0.96809 18.60080 19 −0.93426 −1.11410 18.60080 0.84158 0.92212 18.60080 20 −0.86473 −1.01667 18.60080 0.72641 0.87069 18.60080 21 −0.79058 −0.91692 18.60080 0.60853 0.81359 18.60080 22 −0.71154 −0.81510 18.60080 0.48808 0.75080 18.60080 23 −0.62742 −0.71144 18.60080 0.36514 0.68239 18.60080 24 −0.53807 −0.60613 18.60080 0.23990 0.60827 18.60080 25 −0.44650 −0.50275 18.60080 0.11688 0.53050 18.60080 26 −0.35290 −0.40120 18.60080 −0.00347 0.44867 18.60080 27 −0.25746 −0.30139 18.60080 −0.12073 0.36246 18.60080 28 −0.16045 −0.20309 18.60080 −0.23442 0.27161 18.60080 29 −0.06229 −0.10594 18.60080 −0.34415 0.17601 18.60080 30 0.03659 −0.00952 18.60080 −0.44971 0.07583 18.60080 31 0.13613 0.08621 18.60080 −0.55113 −0.02854 18.60080 32 0.23649 0.18108 18.60080 −0.64845 −0.13675 18.60080 33 0.33802 0.27470 18.60080 −0.74166 −0.24852 18.60080 34 0.44123 0.36646 18.60080 −0.83071 −0.36363 18.60080 35 0.54665 0.45567 18.60080 −0.91553 −0.48189 18.60080 36 0.65103 0.53890 18.60080 −0.99349 −0.59900 18.60080 37 0.75426 0.61608 18.60080 −1.06507 −0.71444 18.60080 38 0.85609 0.68735 18.60080 −1.13066 −0.82782 18.60080 39 0.95625 0.75287 18.60080 −1.19057 −0.93882 18.60080 40 1.05448 0.81282 18.60080 −1.24509 −1.04715 18.60080 41 1.15049 0.86748 18.60080 −1.29441 −1.15262 18.60080 42 1.24395 0.91723 18.60080 −1.33862 −1.25507 18.60080 43 1.33453 0.96254 18.60080 −1.37773 −1.35437 18.60080 44 1.41358 0.99997 18.60080 −1.41045 −1.44571 18.60080 45 1.48490 1.03220 18.60080 −1.43764 −1.52870 18.60080 46 1.55249 1.06147 18.60080 −1.45965 −1.60313 18.60080 47 1.61626 1.08796 18.60080 −1.47806 −1.67353 18.60080 48 1.67180 1.11023 18.60080 −1.49204 −1.73503 18.60080 49 1.71466 1.12704 18.60080 −1.50132 −1.78264 18.60080 50 1.74900 1.14034 18.60080 −1.50645 −1.82110 18.60080 51 1.77479 1.15025 18.60080 −1.50733 −1.85018 18.60080 52 1.79414 1.15763 18.60080 −1.50463 −1.87181 18.60080 53 1.80724 1.16650 18.60080 −1.50057 −1.88320 18.60080 54 1.81097 1.17485 18.60080 −1.49613 −1.88954 18.60080 55 1.81145 1.18034 18.60080 −1.49315 −1.89202 18.60080 56 1.81123 1.18263 18.60080 −1.49148 −1.89299 18.60080 57 −1.50393 −1.82567 18.49107 1.80812 1.14428 18.49107 58 −1.50310 −1.82602 18.49107 1.80776 1.14566 18.49107 59 −1.50137 −1.82658 18.49107 1.80694 1.14790 18.49107 60 −1.49780 −1.82715 18.49107 1.80393 1.15275 18.49107 61 −1.49063 −1.82633 18.49107 1.79621 1.15818 18.49107 62 −1.48022 −1.82195 18.49107 1.77977 1.15802 18.49107 63 −1.46378 −1.80995 18.49107 1.75864 1.15419 18.49107 64 −1.44459 −1.79072 18.49107 1.73049 1.14894 18.49107 65 −1.42155 −1.76274 18.49107 1.69301 1.14170 18.49107 66 −1.39452 −1.72639 18.49107 1.64623 1.13224 18.49107 67 −1.36004 −1.67864 18.49107 1.58557 1.11924 18.49107 68 −1.32079 −1.62315 18.49107 1.51577 1.10339 18.49107 69 −1.27937 −1.56366 18.49107 1.44152 1.08560 18.49107 70 −1.23300 −1.49658 18.49107 1.36294 1.06544 18.49107 71 −1.18152 −1.42200 18.49107 1.27557 1.04119 18.49107 72 −1.12483 −1.34002 18.49107 1.17508 1.01079 18.49107 73 −1.06521 −1.25456 18.49107 1.07090 0.97627 18.49107 74 −1.00215 −1.16597 18.49107 0.96323 0.93722 18.49107 75 −0.93519 −1.07462 18.49107 0.85233 0.89327 18.49107 76 −0.86395 −0.98080 18.49107 0.73841 0.84412 18.49107 75 −0.78812 −0.88481 18.49107 0.62168 0.78958 18.49107 78 −0.70752 −0.78686 18.49107 0.50226 0.72965 18.49107 79 −0.62197 −0.68714 18.49107 0.38021 0.66441 18.49107 80 −0.53136 −0.58583 18.49107 0.25571 0.59375 18.49107 81 −0.43874 −0.48635 18.49107 0.13324 0.51961 18.49107 82 −0.34429 −0.38861 18.49107 0.01322 0.44157 18.49107 83 −0.24819 −0.29250 18.49107 −0.10392 0.35930 18.49107 84 −0.15068 −0.19781 18.49107 −0.21778 0.27252 18.49107 85 −0.05211 −0.10422 18.49107 −0.32799 0.18116 18.49107 86 0.04717 −0.01138 18.49107 −0.43433 0.08532 18.49107 87 0.14709 0.08076 18.49107 −0.53677 −0.01467 18.49107 88 0.24776 0.17208 18.49107 −0.63531 −0.11852 18.49107 89 0.34948 0.26224 18.49107 −0.72991 −0.22597 18.49107 90 0.45270 0.35067 18.49107 −0.82050 −0.33681 18.49107 91 0.55790 0.43672 18.49107 −0.90699 −0.45088 18.49107 92 0.66184 0.51709 18.49107 −0.98666 −0.56403 18.49107 93 0.76444 0.59170 18.49107 −1.05993 −0.67577 18.49107 94 0.86546 0.66067 18.49107 −1.12715 −0.78568 18.49107 95 0.96469 0.72415 18.49107 −1.18866 −0.89344 18.49107 96 1.06189 0.78229 18.49107 −1.24472 −0.99874 18.49107 97 1.15679 0.83536 18.49107 −1.29556 −1.10136 18.49107 98 1.24911 0.88369 18.49107 −1.34128 −1.20114 18.49107 99 1.33851 0.92775 18.49107 −1.38189 −1.29795 18.49107 100 1.41649 0.96421 18.49107 −1.41603 −1.38708 18.49107 101 1.48681 0.99563 18.49107 −1.44448 −1.46812 18.49107 102 1.55343 1.02422 18.49107 −1.46764 −1.54088 18.49107 103 1.61625 1.05013 18.49107 −1.48719 −1.60973 18.49107 104 1.67096 1.07196 18.49107 −1.50223 −1.66992 18.49107 105 1.71316 1.08845 18.49107 −1.51237 −1.71655 18.49107 106 1.74697 1.10151 18.49107 −1.51821 −1.75426 18.49107 107 1.77235 1.11124 18.49107 −1.51964 −1.78284 18.49107 108 1.79140 1.11850 18.49107 −1.51736 −1.80416 18.49107 109 1.80440 1.12709 18.49107 −1.51354 −1.81543 18.49107 110 1.80811 1.13529 18.49107 −1.50928 −1.82174 18.49107 111 1.80859 1.14069 18.49107 −1.50641 −1.82424 18.49107 112 1.80837 1.14294 18.49107 −1.50479 −1.82524 18.49107 113 −1.52127 −1.73868 18.34904 1.80448 1.09290 18.34904 114 −1.52046 −1.73905 18.34904 1.80413 1.09425 18.34904 115 −1.51880 −1.73966 18.34904 1.80332 1.09645 18.34904 116 −1.51532 −1.74036 18.34904 1.80035 1.10118 18.34904 117 −1.50826 −1.73984 18.34904 1.79275 1.10644 18.34904 118 −1.49789 −1.73597 18.34904 1.77664 1.10618 18.34904 119 −1.48132 −1.72487 18.34904 1.75593 1.10249 18.34904 120 −1.46181 −1.70676 18.34904 1.72836 1.09744 18.34904 121 −1.43822 −1.68022 18.34904 1.69162 1.09049 18.34904 122 −1.41043 −1.64560 18.34904 1.64578 1.08144 18.34904 123 −1.37501 −1.60003 18.34904 1.58631 1.06903 18.34904 124 −1.33465 −1.54705 18.34904 1.51786 1.05398 18.34904 125 −1.29201 −1.49024 18.34904 1.44501 1.03712 18.34904 126 −1.24419 −1.42621 18.34904 1.36790 1.01804 18.34904 127 −1.19098 −1.35513 18.34904 1.28213 0.99512 18.34904 128 −1.13230 −1.27704 18.34904 1.18343 0.96638 18.34904 129 −1.07054 −1.19573 18.34904 1.08102 0.93376 18.34904 130 −1.00520 −1.11156 18.34904 0.97510 0.89690 18.34904 131 −0.93592 −1.02484 18.34904 0.86587 0.85550 18.34904 132 −0.86239 −0.93586 18.34904 0.75350 0.80931 18.34904 133 −0.78440 −0.84482 18.34904 0.63816 0.75818 18.34904 134 −0.70181 −0.75192 18.34904 0.51995 0.70209 18.34904 135 −0.61449 −0.65730 18.34904 0.39898 0.64104 18.34904 136 −0.52235 −0.56113 18.34904 0.27540 0.57485 18.34904 137 −0.42849 −0.46663 18.34904 0.15369 0.50530 18.34904 138 −0.33308 −0.37370 18.34904 0.03419 0.43201 18.34904 139 −0.23628 −0.28221 18.34904 −0.08268 0.35460 18.34904 140 −0.13831 −0.19198 18.34904 −0.19659 0.27290 18.34904 141 −0.03942 −0.10276 18.34904 −0.30724 0.18685 18.34904 142 0.06015 −0.01429 18.34904 −0.41440 0.09648 18.34904 143 0.16036 0.07345 18.34904 −0.51800 0.00205 18.34904 144 0.26129 0.16036 18.34904 −0.61798 −0.09621 18.34904 145 0.36317 0.24615 18.34904 −0.71426 −0.19809 18.34904 146 0.46644 0.33026 18.34904 −0.80679 −0.30339 18.34904 147 0.57152 0.41211 18.34904 −0.89545 −0.41198 18.34904 148 0.67507 0.48861 18.34904 −0.97738 −0.51991 18.34904 149 0.77702 0.55974 18.34904 −1.05292 −0.62674 18.34904 150 0.87715 0.62563 18.34904 −1.12239 −0.73205 18.34904 151 0.97527 0.68643 18.34904 −1.18608 −0.83551 18.34904 152 1.07119 0.74226 18.34904 −1.24427 −0.93680 18.34904 153 1.16470 0.79335 18.34904 −1.29719 −1.03567 18.34904 154 1.25555 0.83996 18.34904 −1.34497 −1.13194 18.34904 155 1.34347 0.88252 18.34904 −1.38759 −1.22549 18.34904 156 1.42010 0.91777 18.34904 −1.42359 −1.31173 18.34904 157 1.48916 0.94821 18.34904 −1.45369 −1.39027 18.34904 158 1.55456 0.97595 18.34904 −1.47827 −1.46088 18.34904 159 1.61621 1.00112 18.34904 −1.49924 −1.52776 18.34904 160 1.66988 1.02236 18.34904 −1.51557 −1.58627 18.34904 161 1.71126 1.03844 18.34904 −1.52674 −1.63164 18.34904 162 1.74441 1.05119 18.34904 −1.53343 −1.66841 18.34904 163 1.76930 1.06070 18.34904 −1.53557 −1.69634 18.34904 164 1.78797 1.06781 18.34904 −1.53386 −1.71727 18.34904 165 1.80080 1.07608 18.34904 −1.53040 −1.72840 18.34904 166 1.80448 1.08409 18.34904 −1.52639 −1.73468 18.34904 167 1.80495 1.08938 18.34904 −1.52365 −1.73721 18.34904 168 1.80473 1.09159 18.34904 −1.52209 −1.73824 18.34904 169 −1.54586 −1.61696 18.13524 1.79932 1.01559 18.13524 170 −1.54510 −1.61736 18.13524 1.79897 1.01690 18.13524 171 −1.54351 −1.61804 18.13524 1.79818 1.01902 18.13524 172 −1.54018 −1.61891 18.13524 1.79529 1.02361 18.13524 173 −1.53330 −1.61888 18.13524 1.78795 1.02876 18.13524 174 −1.52299 −1.61582 18.13524 1.77232 1.02867 18.13524 175 −1.50619 −1.60616 18.13524 1.75221 1.02523 18.13524 176 −1.48611 −1.58984 18.13524 1.72543 1.02052 18.13524 177 −1.46157 −1.56559 18.13524 1.68975 1.01403 18.13524 178 −1.43249 −1.53372 18.13524 1.64522 1.00558 18.13524 179 −1.39536 −1.49169 18.13524 1.58743 0.99404 18.13524 180 −1.35293 −1.44282 18.13524 1.52088 0.98008 18.13524 181 −1.30802 −1.39039 18.13524 1.45006 0.96444 18.13524 182 −1.25761 −1.33132 18.13524 1.37507 0.94674 18.13524 183 −1.20150 −1.26577 18.13524 1.29160 0.92551 18.13524 184 −1.13961 −1.19381 18.13524 1.19549 0.89893 18.13524 185 −1.07446 −1.11895 18.13524 1.09566 0.86887 18.13524 186 −1.00567 −1.04156 18.13524 0.99225 0.83509 18.13524 187 −0.93298 −0.96188 18.13524 0.88540 0.79733 18.13524 188 −0.85621 −0.88009 18.13524 0.77527 0.75537 18.13524 189 −0.77526 −0.79633 18.13524 0.66200 0.70903 18.13524 190 −0.69002 −0.71073 18.13524 0.54570 0.65821 18.13524 191 −0.60041 −0.62341 18.13524 0.42649 0.60281 18.13524 192 −0.50637 −0.53449 18.13524 0.30458 0.54257 18.13524 193 −0.41105 −0.44693 18.13524 0.18429 0.47915 18.13524 194 −0.31458 −0.36063 18.13524 0.06593 0.41219 18.13524 195 −0.21714 −0.27545 18.13524 −0.05012 0.34133 18.13524 196 −0.11884 −0.19124 18.13524 −0.16366 0.26649 18.13524 197 −0.01985 −0.10786 18.13524 −0.27445 0.18766 18.13524 198 0.07975 −0.02520 18.13524 −0.38229 0.10482 18.13524 199 0.17999 0.05668 18.13524 −0.48706 0.01813 18.13524 200 0.28093 0.13770 18.13524 −0.58866 −0.07224 18.13524 201 0.38274 0.21761 18.13524 −0.68701 −0.16614 18.13524 202 0.48583 0.29588 18.13524 −0.78204 −0.26341 18.13524 203 0.59051 0.37199 18.13524 −0.87363 −0.36391 18.13524 204 0.69340 0.44317 18.13524 −0.95877 −0.46407 18.13524 205 0.79440 0.50944 18.13524 −1.03768 −0.56347 18.13524 206 0.89331 0.57097 18.13524 −1.11058 −0.66177 18.13524 207 0.98993 0.62795 18.13524 −1.17772 −0.75863 18.13524 208 1.08414 0.68047 18.13524 −1.23933 −0.85374 18.13524 209 1.17574 0.72874 18.13524 −1.29565 −0.94680 18.13524 210 1.26456 0.77299 18.13524 −1.34686 −1.03761 18.13524 211 1.35038 0.81352 18.13524 −1.39285 −1.12610 18.13524 212 1.42512 0.84720 18.13524 −1.43196 −1.20788 18.13524 213 1.49243 0.87633 18.13524 −1.46492 −1.28252 18.13524 214 1.55614 0.90289 18.13524 −1.49206 −1.34977 18.13524 215 1.61619 0.92702 18.13524 −1.51547 −1.41360 18.13524 216 1.66844 0.94740 18.13524 −1.53396 −1.46955 18.13524 217 1.70872 0.96287 18.13524 −1.54679 −1.51303 18.13524 218 1.74097 0.97515 18.13524 −1.55485 −1.54837 18.13524 219 1.76518 0.98434 18.13524 −1.55808 −1.57536 18.13524 220 1.78333 0.99121 18.13524 −1.55725 −1.59571 18.13524 221 1.79581 0.99924 18.13524 −1.55431 −1.60662 18.13524 222 1.79936 1.00703 18.13524 −1.55065 −1.61285 18.13524 223 1.79979 1.01217 18.13524 −1.54810 −1.61542 18.13524 224 1.79957 1.01432 18.13524 −1.54663 −1.61649 18.13524 225 −1.56383 −1.53358 17.92818 1.79448 0.93825 17.92818 226 −1.56311 −1.53401 17.92818 1.79413 0.93953 17.92818 227 −1.56160 −1.53476 17.92818 1.79336 0.94160 17.92818 228 −1.55839 −1.53579 17.92818 1.79054 0.94607 17.92818 229 −1.55168 −1.53621 17.92818 1.78341 0.95115 17.92818 230 −1.54141 −1.53396 17.92818 1.76819 0.95122 17.92818 231 −1.52436 −1.52571 17.92818 1.74857 0.94798 17.92818 232 −1.50370 −1.51115 17.92818 1.72243 0.94352 17.92818 233 −1.47819 −1.48909 17.92818 1.68761 0.93737 17.92818 234 −1.44779 −1.45987 17.92818 1.64416 0.92934 17.92818 235 −1.40889 −1.42124 17.92818 1.58776 0.91838 17.92818 236 −1.36441 −1.37628 17.92818 1.52281 0.90516 17.92818 237 −1.31729 −1.32798 17.92818 1.45367 0.89034 17.92818 238 −1.26447 −1.27348 17.92818 1.38043 0.87361 17.92818 239 −1.20582 −1.21288 17.92818 1.29888 0.85359 17.92818 240 −1.14124 −1.14629 17.92818 1.20493 0.82861 17.92818 241 −1.07340 −1.07697 17.92818 1.10725 0.80050 17.92818 242 −1.00198 −1.00528 17.92818 1.00597 0.76903 17.92818 243 −0.92680 −0.93138 17.92818 0.90119 0.73398 17.92818 244 −0.84776 −0.85540 17.92818 0.79306 0.69515 17.92818 245 −0.76479 −0.77745 17.92818 0.68168 0.65235 17.92818 246 −0.67779 −0.69763 17.92818 0.56719 0.60541 17.92818 247 −0.58669 −0.61605 17.92818 0.44972 0.55418 17.92818 248 −0.49143 −0.53282 17.92818 0.32946 0.49840 17.92818 249 −0.39520 −0.45070 17.92818 0.21062 0.43964 17.92818 250 −0.29813 −0.36959 17.92818 0.09348 0.37756 17.92818 251 −0.20036 −0.28933 17.92818 −0.02163 0.31179 17.92818 252 −0.10197 −0.20981 17.92818 −0.13451 0.24226 17.92818 253 −0.00305 −0.13096 17.92818 −0.24497 0.16896 17.92818 254 0.09639 −0.05277 17.92818 −0.35285 0.09191 17.92818 255 0.19642 0.02467 17.92818 −0.45804 0.01123 17.92818 256 0.29712 0.10124 17.92818 −0.56045 −0.07296 17.92818 257 0.39866 0.17668 17.92818 −0.65997 −0.16054 17.92818 258 0.50138 0.25050 17.92818 −0.75654 −0.25136 17.92818 259 0.60556 0.32226 17.92818 −0.85007 −0.34532 17.92818 260 0.70778 0.38937 17.92818 −0.93744 −0.43907 17.92818 261 0.80790 0.45194 17.92818 −1.01884 −0.53226 17.92818 262 0.90574 0.51017 17.92818 −1.09443 −0.62458 17.92818 263 1.00112 0.56422 17.92818 −1.16438 −0.71573 17.92818 264 1.09391 0.61424 17.92818 −1.22888 −0.80542 17.92818 265 1.18398 0.66038 17.92818 −1.28819 −0.89334 17.92818 266 1.27117 0.70285 17.92818 −1.34248 −0.97927 17.92818 267 1.35531 0.74191 17.92818 −1.39161 −1.06316 17.92818 268 1.42851 0.77446 17.92818 −1.43367 −1.14089 17.92818 269 1.49441 0.80269 17.92818 −1.46943 −1.21194 17.92818 270 1.55675 0.82846 17.92818 −1.49917 −1.27609 17.92818 271 1.61551 0.85189 17.92818 −1.52509 −1.33710 17.92818 272 1.66662 0.87169 17.92818 −1.54579 −1.39068 17.92818 273 1.70602 0.88673 17.92818 −1.56032 −1.43242 17.92818 274 1.73756 0.89870 17.92818 −1.56980 −1.46646 17.92818 275 1.76122 0.90766 17.92818 −1.57415 −1.49260 17.92818 276 1.77896 0.91438 17.92818 −1.57417 −1.51245 17.92818 277 1.79113 0.92226 17.92818 −1.57169 −1.52319 17.92818 278 1.79457 0.92989 17.92818 −1.56834 −1.52939 17.92818 279 1.79496 0.93492 17.92818 −1.56595 −1.53198 17.92818 280 1.79473 0.93701 17.92818 −1.56456 −1.53308 17.92818 281 −1.57253 −1.49971 17.76341 1.79089 0.87222 17.76341 282 −1.57183 −1.50016 17.76341 1.79054 0.87348 17.76341 283 −1.57037 −1.50094 17.76341 1.78977 0.87551 17.76341 284 −1.56725 −1.50207 17.76341 1.78700 0.87991 17.76341 285 −1.56065 −1.50274 17.76341 1.78001 0.88494 17.76341 286 −1.55044 −1.50096 17.76341 1.76503 0.88513 17.76341 287 −1.53330 −1.49355 17.76341 1.74571 0.88201 17.76341 288 −1.51233 −1.48009 17.76341 1.71997 0.87770 17.76341 289 −1.48628 −1.45944 17.76341 1.68570 0.87172 17.76341 290 −1.45512 −1.43192 17.76341 1.64292 0.86389 17.76341 291 −1.41523 −1.39547 17.76341 1.58741 0.85319 17.76341 292 −1.36961 −1.35296 17.76341 1.52346 0.84030 17.76341 293 −1.32132 −1.30723 17.76341 1.45539 0.82589 17.76341 294 −1.26724 −1.25552 17.76341 1.38326 0.80969 17.76341 295 −1.20725 −1.19796 17.76341 1.30291 0.79039 17.76341 296 −1.14131 −1.13460 17.76341 1.21029 0.76642 17.76341 297 −1.07216 −1.06857 17.76341 1.11395 0.73953 17.76341 298 −0.99947 −1.00025 17.76341 1.01400 0.70950 17.76341 299 −0.92311 −0.92976 17.76341 0.91053 0.67611 17.76341 300 −0.84299 −0.85723 17.76341 0.80366 0.63918 17.76341 301 −0.75905 −0.78273 17.76341 0.69350 0.59856 17.76341 302 −0.67120 −0.70638 17.76341 0.58015 0.55406 17.76341 303 −0.57934 −0.62832 17.76341 0.46376 0.50549 17.76341 304 −0.48344 −0.54860 17.76341 0.34449 0.45263 17.76341 305 −0.38672 −0.46990 17.76341 0.22651 0.39693 17.76341 306 −0.28927 −0.39209 17.76341 0.11008 0.33808 17.76341 307 −0.19122 −0.31502 17.76341 −0.00448 0.27567 17.76341 308 −0.09268 −0.23861 17.76341 −0.11694 0.20955 17.76341 309 0.00633 −0.16279 17.76341 −0.22714 0.13971 17.76341 310 0.10579 −0.08756 17.76341 −0.33492 0.06621 17.76341 311 0.20578 −0.01304 17.76341 −0.44022 −0.01081 17.76341 312 0.30640 0.06063 17.76341 −0.54293 −0.09125 17.76341 313 0.40784 0.13316 17.76341 −0.64295 −0.17501 17.76341 314 0.51038 0.20412 17.76341 −0.74022 −0.26195 17.76341 315 0.61429 0.27307 17.76341 −0.83464 −0.35197 17.76341 316 0.71612 0.33758 17.76341 −0.92309 −0.44187 17.76341 317 0.81571 0.39781 17.76341 −1.00572 −0.53131 17.76341 318 0.91290 0.45393 17.76341 −1.08266 −0.62000 17.76341 319 1.00753 0.50614 17.76341 −1.15406 −0.70767 17.76341 320 1.09948 0.55456 17.76341 −1.22010 −0.79403 17.76341 321 1.18862 0.59935 17.76341 −1.28101 −0.87878 17.76341 322 1.27483 0.64069 17.76341 −1.33701 −0.96165 17.76341 323 1.35794 0.67883 17.76341 −1.38793 −1.04264 17.76341 324 1.43019 0.71073 17.76341 −1.43171 −1.11780 17.76341 325 1.49518 0.73847 17.76341 −1.46913 −1.18655 17.76341 326 1.55666 0.76385 17.76341 −1.50046 −1.24868 17.76341 327 1.61458 0.78694 17.76341 −1.52795 −1.30783 17.76341 328 1.66496 0.80647 17.76341 −1.55010 −1.35985 17.76341 329 1.70379 0.82132 17.76341 −1.56579 −1.40040 17.76341 330 1.73487 0.83314 17.76341 −1.57629 −1.43356 17.76341 331 1.75819 0.84199 17.76341 −1.58145 −1.45912 17.76341 332 1.77567 0.84864 17.76341 −1.58211 −1.47864 17.76341 333 1.78765 0.85644 17.76341 −1.57998 −1.48927 17.76341 334 1.79100 0.86397 17.76341 −1.57685 −1.49546 17.76341 335 1.79137 0.86893 17.76341 −1.57457 −1.49808 17.76341 336 1.79113 0.87100 17.76341 −1.57324 −1.49920 17.76341 337 −1.57863 −1.48516 17.52140 1.78773 0.76995 17.52140 338 −1.57795 −1.48562 17.52140 1.78738 0.77118 17.52140 339 −1.57654 −1.48644 17.52140 1.78662 0.77318 17.52140 340 −1.57350 −1.48763 17.52140 1.78390 0.77750 17.52140 341 −1.56704 −1.48850 17.52140 1.77707 0.78248 17.52140 342 −1.55694 −1.48708 17.52140 1.76237 0.78283 17.52140 343 −1.53982 −1.48043 17.52140 1.74338 0.77988 17.52140 344 −1.51868 −1.46804 17.52140 1.71810 0.77578 17.52140 345 −1.49223 −1.44882 17.52140 1.68443 0.77004 17.52140 346 −1.46047 −1.42309 17.52140 1.64241 0.76246 17.52140 347 −1.41975 −1.38895 17.52140 1.58789 0.75208 17.52140 348 −1.37322 −1.34901 17.52140 1.52508 0.73961 17.52140 349 −1.32398 −1.30597 17.52140 1.45819 0.72574 17.52140 350 −1.26885 −1.25724 17.52140 1.38728 0.71027 17.52140 351 −1.20773 −1.20294 17.52140 1.30825 0.69197 17.52140 352 −1.14065 −1.14305 17.52140 1.21708 0.66938 17.52140 353 −1.07038 −1.08058 17.52140 1.12219 0.64412 17.52140 354 −0.99661 −1.01591 17.52140 1.02367 0.61596 17.52140 355 −0.91922 −0.94916 17.52140 0.92163 0.58468 17.52140 356 −0.83815 −0.88044 17.52140 0.81614 0.55013 17.52140 357 −0.75334 −0.80981 17.52140 0.70729 0.51219 17.52140 358 −0.66469 −0.73741 17.52140 0.59518 0.47068 17.52140 359 −0.57210 −0.66339 17.52140 0.47995 0.42540 17.52140 360 −0.47553 −0.58781 17.52140 0.36172 0.37614 17.52140 361 −0.37821 −0.51320 17.52140 0.24464 0.32423 17.52140 362 −0.28023 −0.43944 17.52140 0.12892 0.26933 17.52140 363 −0.18174 −0.36638 17.52140 0.01489 0.21102 17.52140 364 −0.08280 −0.29392 17.52140 −0.09720 0.14905 17.52140 365 0.01652 −0.22200 17.52140 −0.20716 0.08338 17.52140 366 0.11621 −0.15058 17.52140 −0.31488 0.01411 17.52140 367 0.21633 −0.07977 17.52140 −0.42030 −0.05864 17.52140 368 0.31702 −0.00976 17.52140 −0.52330 −0.13475 17.52140 369 0.41845 0.05915 17.52140 −0.62380 −0.21415 17.52140 370 0.52091 0.12654 17.52140 −0.72170 −0.29672 17.52140 371 0.62458 0.19205 17.52140 −0.81693 −0.38237 17.52140 372 0.72603 0.25337 17.52140 −0.90634 −0.46801 17.52140 373 0.82508 0.31071 17.52140 −0.99007 −0.55332 17.52140 374 0.92159 0.36425 17.52140 −1.06824 −0.63804 17.52140 375 1.01543 0.41414 17.52140 −1.14098 −0.72188 17.52140 376 1.10649 0.46053 17.52140 −1.20845 −0.80458 17.52140 377 1.19466 0.50354 17.52140 −1.27087 −0.88583 17.52140 378 1.27982 0.54338 17.52140 −1.32847 −0.96536 17.52140 379 1.36183 0.58028 17.52140 −1.38109 −1.04316 17.52140 380 1.43303 0.61131 17.52140 −1.42653 −1.11545 17.52140 381 1.49702 0.63840 17.52140 −1.46552 −1.18167 17.52140 382 1.55751 0.66329 17.52140 −1.49836 −1.24156 17.52140 383 1.61447 0.68597 17.52140 −1.52741 −1.29864 17.52140 384 1.66402 0.70518 17.52140 −1.55100 −1.34887 17.52140 385 1.70220 0.71980 17.52140 −1.56794 −1.38806 17.52140 386 1.73275 0.73145 17.52140 −1.57957 −1.42016 17.52140 387 1.75567 0.74018 17.52140 −1.58571 −1.44501 17.52140 388 1.77286 0.74673 17.52140 −1.58720 −1.46413 17.52140 389 1.78462 0.75441 17.52140 −1.58555 −1.47465 17.52140 390 1.78788 0.76184 17.52140 −1.58271 −1.48084 17.52140 391 1.78822 0.76672 17.52140 −1.58056 −1.48348 17.52140 392 1.78798 0.76875 17.52140 −1.57930 −1.48463 17.52140 393 −1.57947 −1.49551 17.23982 1.79039 0.64951 17.23982 394 −1.57882 −1.49598 17.23982 1.79005 0.65072 17.23982 395 −1.57744 −1.49682 17.23982 1.78929 0.65268 17.23982 396 −1.57447 −1.49805 17.23982 1.78662 0.65694 17.23982 397 −1.56812 −1.49899 17.23982 1.77992 0.66187 17.23982 398 −1.55815 −1.49776 17.23982 1.76545 0.66236 17.23982 399 −1.54116 −1.49155 17.23982 1.74675 0.65964 17.23982 400 −1.52004 −1.47986 17.23982 1.72183 0.65582 17.23982 401 −1.49346 −1.46167 17.23982 1.68865 0.65043 17.23982 402 −1.46140 −1.43731 17.23982 1.64726 0.64327 17.23982 403 −1.42022 −1.40499 17.23982 1.59353 0.63345 17.23982 404 −1.37317 −1.36713 17.23982 1.53162 0.62167 17.23982 405 −1.32336 −1.32626 17.23982 1.46568 0.60863 17.23982 406 −1.26758 −1.27998 17.23982 1.39575 0.59411 17.23982 407 −1.20574 −1.22840 17.23982 1.31779 0.57699 17.23982 408 −1.13786 −1.17148 17.23982 1.22780 0.55593 17.23982 409 −1.06678 −1.11212 17.23982 1.13407 0.53242 17.23982 410 −0.99219 −1.05067 17.23982 1.03670 0.50625 17.23982 411 −0.91401 −0.98726 17.23982 0.93578 0.47715 17.23982 412 −0.83218 −0.92196 17.23982 0.83139 0.44500 17.23982 413 −0.74663 −0.85487 17.23982 0.72361 0.40966 17.23982 414 −0.65728 −0.78611 17.23982 0.61251 0.37099 17.23982 415 −0.56401 −0.71585 17.23982 0.49822 0.32881 17.23982 416 −0.46676 −0.64420 17.23982 0.38083 0.28291 17.23982 417 −0.36878 −0.57354 17.23982 0.26444 0.23456 17.23982 418 −0.27018 −0.50377 17.23982 0.14927 0.18340 17.23982 419 −0.17106 −0.43472 17.23982 0.03559 0.12897 17.23982 420 −0.07153 −0.36626 17.23982 −0.07633 0.07102 17.23982 421 0.02833 −0.29829 17.23982 −0.18629 0.00945 17.23982 422 0.12848 −0.23075 17.23982 −0.29418 −0.05570 17.23982 423 0.22898 −0.16374 17.23982 −0.39990 −0.12431 17.23982 424 0.32996 −0.09743 17.23982 −0.50334 −0.19631 17.23982 425 0.43157 −0.03212 17.23982 −0.60438 −0.27163 17.23982 426 0.53409 0.03177 17.23982 −0.70294 −0.35018 17.23982 427 0.63768 0.09390 17.23982 −0.79893 −0.43185 17.23982 428 0.73889 0.15214 17.23982 −0.88919 −0.51367 17.23982 429 0.83756 0.20669 17.23982 −0.97387 −0.59532 17.23982 430 0.93356 0.25771 17.23982 −1.05309 −0.67650 17.23982 431 1.02680 0.30531 17.23982 −1.12696 −0.75696 17.23982 432 1.11719 0.34963 17.23982 −1.19563 −0.83643 17.23982 433 1.20461 0.39080 17.23982 −1.25929 −0.91462 17.23982 434 1.28896 0.42905 17.23982 −1.31815 −0.99124 17.23982 435 1.37010 0.46460 17.23982 −1.37209 −1.06629 17.23982 436 1.44047 0.49460 17.23982 −1.41880 −1.13613 17.23982 437 1.50367 0.52089 17.23982 −1.45896 −1.20020 17.23982 438 1.56337 0.54511 17.23982 −1.49291 −1.25822 17.23982 439 1.61957 0.56723 17.23982 −1.52304 −1.31356 17.23982 440 1.66845 0.58598 17.23982 −1.54763 −1.36233 17.23982 441 1.70609 0.60027 17.23982 −1.56542 −1.40039 17.23982 442 1.73622 0.61168 17.23982 −1.57790 −1.43158 17.23982 443 1.75881 0.62025 17.23982 −1.58485 −1.45580 17.23982 444 1.77574 0.62668 17.23982 −1.58708 −1.47454 17.23982 445 1.78736 0.63421 17.23982 −1.58591 −1.48495 17.23982 446 1.79057 0.64152 17.23982 −1.58336 −1.49114 17.23982 447 1.79088 0.64633 17.23982 −1.58134 −1.49382 17.23982 448 1.79064 0.64833 17.23982 −1.58012 −1.49498 17.23982 449 −1.57737 −1.54051 16.80079 1.80665 0.46518 16.80079 450 −1.57674 −1.54099 16.80079 1.80632 0.46637 16.80079 451 −1.57540 −1.54184 16.80079 1.80558 0.46830 16.80079 452 −1.57248 −1.54307 16.80079 1.80294 0.47248 16.80079 453 −1.56623 −1.54394 16.80079 1.79637 0.47736 16.80079 454 −1.55643 −1.54265 16.80079 1.78216 0.47798 16.80079 455 −1.53968 −1.53661 16.80079 1.76373 0.47560 16.80079 456 −1.51872 −1.52542 16.80079 1.73918 0.47224 16.80079 457 −1.49211 −1.50822 16.80079 1.70649 0.46744 16.80079 458 −1.45975 −1.48535 16.80079 1.66570 0.46102 16.80079 459 −1.41814 −1.45500 16.80079 1.61275 0.45218 16.80079 460 −1.37056 −1.41939 16.80079 1.55172 0.44159 16.80079 461 −1.32018 −1.38091 16.80079 1.48670 0.42985 16.80079 462 −1.26376 −1.33730 16.80079 1.41772 0.41680 16.80079 463 −1.20121 −1.28864 16.80079 1.34079 0.40139 16.80079 464 −1.13245 −1.23507 16.80079 1.25194 0.38244 16.80079 465 −1.06040 −1.17928 16.80079 1.15934 0.36132 16.80079 466 −0.98485 −1.12154 16.80079 1.06306 0.33781 16.80079 467 −0.90571 −1.06197 16.80079 0.96319 0.31167 16.80079 468 −0.82291 −1.00070 16.80079 0.85979 0.28277 16.80079 469 −0.73636 −0.93783 16.80079 0.75292 0.25098 16.80079 470 −0.64597 −0.87351 16.80079 0.64267 0.21615 16.80079 471 −0.55166 −0.80788 16.80079 0.52911 0.17813 16.80079 472 −0.45335 −0.74107 16.80079 0.41234 0.13676 16.80079 473 −0.35434 −0.67531 16.80079 0.29640 0.09311 16.80079 474 −0.25472 −0.61047 16.80079 0.18149 0.04681 16.80079 475 −0.15459 −0.54643 16.80079 0.06790 −0.00262 16.80079 476 −0.05405 −0.48303 16.80079 −0.04413 −0.05549 16.80079 477 0.04683 −0.42017 16.80079 −0.15441 −0.11192 16.80079 478 0.14798 −0.35774 16.80079 −0.26276 −0.17197 16.80079 479 0.24945 −0.29585 16.80079 −0.36910 −0.23551 16.80079 480 0.35133 −0.23463 16.80079 −0.47333 −0.30247 16.80079 481 0.45375 −0.17432 16.80079 −0.57531 −0.37280 16.80079 482 0.55693 −0.11531 16.80079 −0.67495 −0.44641 16.80079 483 0.66099 −0.05786 16.80079 −0.77217 −0.52318 16.80079 484 0.76244 −0.00393 16.80079 −0.86378 −0.60031 16.80079 485 0.86115 0.04670 16.80079 −0.94989 −0.67746 16.80079 486 0.95702 0.09416 16.80079 −1.03063 −0.75434 16.80079 487 1.04998 0.13855 16.80079 −1.10609 −0.83071 16.80079 488 1.13994 0.17998 16.80079 −1.17640 −0.90631 16.80079 489 1.22683 0.21861 16.80079 −1.24168 −0.98087 16.80079 490 1.31054 0.25462 16.80079 −1.30212 −1.05413 16.80079 491 1.39097 0.28822 16.80079 −1.35771 −1.12598 16.80079 492 1.46066 0.31668 16.80079 −1.40612 −1.19290 16.80079 493 1.52319 0.34170 16.80079 −1.44781 −1.25443 16.80079 494 1.58223 0.36478 16.80079 −1.48315 −1.31025 16.80079 495 1.63779 0.38590 16.80079 −1.51458 −1.36363 16.80079 496 1.68607 0.40383 16.80079 −1.54025 −1.41077 16.80079 497 1.72325 0.41753 16.80079 −1.55888 −1.44762 16.80079 498 1.75298 0.42850 16.80079 −1.57228 −1.47781 16.80079 499 1.77528 0.43676 16.80079 −1.58023 −1.50126 16.80079 500 1.79198 0.44298 16.80079 −1.58351 −1.51953 16.80079 501 1.80356 0.45017 16.80079 −1.58307 −1.52981 16.80079 502 1.80681 0.45733 16.80079 −1.58099 −1.53606 16.80079 503 1.80713 0.46205 16.80079 −1.57915 −1.53879 16.80079 504 1.80690 0.46402 16.80079 −1.57800 −1.53998 16.80079 505 −1.57723 −1.58253 16.49737 1.81423 0.34767 16.49737 506 −1.57661 −1.58301 16.49737 1.81390 0.34886 16.49737 507 −1.57528 −1.58385 16.49737 1.81317 0.35077 16.49737 508 −1.57238 −1.58504 16.49737 1.81057 0.35491 16.49737 509 −1.56616 −1.58578 16.49737 1.80406 0.35975 16.49737 510 −1.55647 −1.58431 16.49737 1.78997 0.36041 16.49737 511 −1.53990 −1.57821 16.49737 1.77169 0.35824 16.49737 512 −1.51905 −1.56724 16.49737 1.74733 0.35516 16.49737 513 −1.49241 −1.55057 16.49737 1.71491 0.35073 16.49737 514 −1.45987 −1.52857 16.49737 1.67443 0.34477 16.49737 515 −1.41799 −1.49933 16.49737 1.62189 0.33654 16.49737 516 −1.37012 −1.46497 16.49737 1.56132 0.32664 16.49737 517 −1.31942 −1.42781 16.49737 1.49679 0.31567 16.49737 518 −1.26268 −1.38561 16.49737 1.42833 0.30345 16.49737 519 −1.19979 −1.33851 16.49737 1.35195 0.28901 16.49737 520 −1.13055 −1.28677 16.49737 1.26373 0.27121 16.49737 521 −1.05796 −1.23297 16.49737 1.17175 0.25137 16.49737 522 −0.98190 −1.17724 16.49737 1.07607 0.22930 16.49737 523 −0.90226 −1.11977 16.49737 0.97678 0.20478 16.49737 524 −0.81895 −1.06068 16.49737 0.87393 0.17767 16.49737 525 −0.73188 −1.00010 16.49737 0.76757 0.14785 16.49737 526 −0.64097 −0.93816 16.49737 0.65778 0.11515 16.49737 527 −0.54614 −0.87501 16.49737 0.54465 0.07942 16.49737 528 −0.44734 −0.81076 16.49737 0.42827 0.04046 16.49737 529 −0.34787 −0.74754 16.49737 0.31265 −0.00070 16.49737 530 −0.24781 −0.68527 16.49737 0.19799 −0.04448 16.49737 531 −0.14724 −0.62381 16.49737 0.08458 −0.09139 16.49737 532 −0.04625 −0.56305 16.49737 −0.02736 −0.14170 16.49737 533 0.05508 −0.50287 16.49737 −0.13762 −0.19559 16.49737 534 0.15670 −0.44317 16.49737 −0.24604 −0.25310 16.49737 535 0.25865 −0.38402 16.49737 −0.35252 −0.31413 16.49737 536 0.36098 −0.32556 16.49737 −0.45697 −0.37856 16.49737 537 0.46383 −0.26800 16.49737 −0.55928 −0.44635 16.49737 538 0.56736 −0.21168 16.49737 −0.65936 −0.51739 16.49737 539 0.67168 −0.15684 16.49737 −0.75712 −0.59158 16.49737 540 0.77329 −0.10532 16.49737 −0.84936 −0.66620 16.49737 541 0.87206 −0.05690 16.49737 −0.93619 −0.74091 16.49737 542 0.96791 −0.01146 16.49737 −1.01771 −0.81543 16.49737 543 1.06074 0.03114 16.49737 −1.09402 −0.88953 16.49737 544 1.15051 0.07099 16.49737 −1.16521 −0.96296 16.49737 545 1.23713 0.10823 16.49737 −1.23140 −1.03547 16.49737 546 1.32052 0.14302 16.49737 −1.29270 −1.10685 16.49737 547 1.40060 0.17554 16.49737 −1.34925 −1.17687 16.49737 548 1.46996 0.20313 16.49737 −1.39873 −1.24203 16.49737 549 1.53217 0.22741 16.49737 −1.44143 −1.30202 16.49737 550 1.59090 0.24981 16.49737 −1.47768 −1.35653 16.49737 551 1.64615 0.27031 16.49737 −1.50995 −1.40872 16.49737 552 1.69416 0.28774 16.49737 −1.53637 −1.45487 16.49737 553 1.73111 0.30107 16.49737 −1.55553 −1.49102 16.49737 554 1.76067 0.31176 16.49737 −1.56953 −1.52059 16.49737 555 1.78282 0.31982 16.49737 −1.57816 −1.54356 16.49737 556 1.79942 0.32589 16.49737 −1.58221 −1.56150 16.49737 557 1.81103 0.33283 16.49737 −1.58235 −1.57170 16.49737 558 1.81433 0.33988 16.49737 −1.58065 −1.57799 16.49737 559 1.81469 0.34457 16.49737 −1.57894 −1.58078 16.49737 560 1.81447 0.34652 16.49737 −1.57784 −1.58199 16.49737 561 −1.57717 −1.65045 16.07803 1.81136 0.21265 16.07803 562 −1.57657 −1.65094 16.07803 1.81104 0.21382 16.07803 563 −1.57526 −1.65178 16.07803 1.81032 0.21571 16.07803 564 −1.57237 −1.65292 16.07803 1.80775 0.21981 16.07803 565 −1.56619 −1.65350 16.07803 1.80129 0.22456 16.07803 566 −1.55662 −1.65188 16.07803 1.78734 0.22521 16.07803 567 −1.54024 −1.64575 16.07803 1.76923 0.22325 16.07803 568 −1.51951 −1.63502 16.07803 1.74511 0.22044 16.07803 569 −1.49289 −1.61888 16.07803 1.71299 0.21638 16.07803 570 −1.46021 −1.59775 16.07803 1.67290 0.21088 16.07803 571 −1.41814 −1.56966 16.07803 1.62084 0.20325 16.07803 572 −1.37004 −1.53658 16.07803 1.56084 0.19404 16.07803 573 −1.31914 −1.50072 16.07803 1.49691 0.18380 16.07803 574 −1.26223 −1.45988 16.07803 1.42907 0.17236 16.07803 575 −1.19914 −1.41430 16.07803 1.35338 0.15878 16.07803 576 −1.12956 −1.36443 16.07803 1.26595 0.14198 16.07803 577 −1.05656 −1.31263 16.07803 1.17477 0.12324 16.07803 578 −0.98016 −1.25891 16.07803 1.07991 0.10240 16.07803 579 −0.90024 −1.20344 16.07803 0.98142 0.07924 16.07803 580 −0.81669 −1.14636 16.07803 0.87937 0.05362 16.07803 581 −0.72946 −1.08780 16.07803 0.77380 0.02541 16.07803 582 −0.63844 −1.02789 16.07803 0.66481 −0.00560 16.07803 583 −0.54356 −0.96679 16.07803 0.55248 −0.03958 16.07803 584 −0.44473 −0.90464 16.07803 0.43689 −0.07672 16.07803 585 −0.34525 −0.84354 16.07803 0.32204 −0.11608 16.07803 586 −0.24517 −0.78343 16.07803 0.20811 −0.15803 16.07803 587 −0.14457 −0.72419 16.07803 0.09537 −0.20306 16.07803 588 −0.04355 −0.66568 16.07803 −0.01598 −0.25144 16.07803 589 0.05781 −0.60774 16.07803 −0.12574 −0.30333 16.07803 590 0.15944 −0.55029 16.07803 −0.23373 −0.35879 16.07803 591 0.26139 −0.49339 16.07803 −0.33986 −0.41775 16.07803 592 0.36371 −0.43719 16.07803 −0.44402 −0.48011 16.07803 593 0.46652 −0.38187 16.07803 −0.54612 −0.54580 16.07803 594 0.56998 −0.32779 16.07803 −0.64606 −0.61473 16.07803 595 0.67418 −0.27513 16.07803 −0.74378 −0.68677 16.07803 596 0.77560 −0.22564 16.07803 −0.83608 −0.75925 16.07803 597 0.87413 −0.17912 16.07803 −0.92309 −0.83184 16.07803 598 0.96967 −0.13540 16.07803 −1.00494 −0.90423 16.07803 599 1.06215 −0.09435 16.07803 −1.08172 −0.97617 16.07803 600 1.15151 −0.05587 16.07803 −1.15353 −1.04743 16.07803 601 1.23768 −0.01985 16.07803 −1.22046 −1.11782 16.07803 602 1.32060 0.01385 16.07803 −1.28252 −1.18718 16.07803 603 1.40019 0.04539 16.07803 −1.33997 −1.25520 16.07803 604 1.46911 0.07216 16.07803 −1.39054 −1.31839 16.07803 605 1.53093 0.09572 16.07803 −1.43428 −1.37664 16.07803 606 1.58928 0.11746 16.07803 −1.47147 −1.42964 16.07803 607 1.64415 0.13735 16.07803 −1.50465 −1.48048 16.07803 608 1.69183 0.15427 16.07803 −1.53190 −1.52548 16.07803 609 1.72853 0.16722 16.07803 −1.55175 −1.56074 16.07803 610 1.75788 0.17761 16.07803 −1.56651 −1.58955 16.07803 611 1.77987 0.18545 16.07803 −1.57594 −1.61192 16.07803 612 1.79635 0.19136 16.07803 −1.58084 −1.62944 16.07803 613 1.80800 0.19801 16.07803 −1.58160 −1.63950 16.07803 614 1.81140 0.20493 16.07803 −1.58034 −1.64583 16.07803 615 1.81180 0.20957 16.07803 −1.57881 −1.64867 16.07803 616 1.81159 0.21150 16.07803 −1.57776 −1.64990 16.07803 617 −1.57673 −1.72587 15.59894 1.81027 0.11317 15.59894 618 −1.57613 −1.72636 15.59894 1.80995 0.11434 15.59894 619 −1.57483 −1.72721 15.59894 1.80924 0.11622 15.59894 620 −1.57193 −1.72830 15.59894 1.80667 0.12028 15.59894 621 −1.56577 −1.72873 15.59894 1.80016 0.12489 15.59894 622 −1.55626 −1.72693 15.59894 1.78626 0.12530 15.59894 623 −1.54001 −1.72061 15.59894 1.76825 0.12337 15.59894 624 −1.51942 −1.70979 15.59894 1.74426 0.12061 15.59894 625 −1.49289 −1.69371 15.59894 1.71232 0.11662 15.59894 626 −1.46023 −1.67280 15.59894 1.67244 0.11122 15.59894 627 −1.41816 −1.64501 15.59894 1.62067 0.10372 15.59894 628 −1.37008 −1.61225 15.59894 1.56099 0.09465 15.59894 629 −1.31921 −1.57671 15.59894 1.49740 0.08454 15.59894 630 −1.26233 −1.53625 15.59894 1.42993 0.07321 15.59894 631 −1.19926 −1.49110 15.59894 1.35467 0.05974 15.59894 632 −1.12957 −1.44187 15.59894 1.26772 0.04305 15.59894 633 −1.05645 −1.39078 15.59894 1.17706 0.02444 15.59894 634 −0.97996 −1.33774 15.59894 1.08272 0.00373 15.59894 635 −0.89999 −1.28292 15.59894 0.98478 −0.01926 15.59894 636 −0.81645 −1.22646 15.59894 0.88329 −0.04471 15.59894 637 −0.72926 −1.16846 15.59894 0.77832 −0.07276 15.59894 638 −0.63835 −1.10907 15.59894 0.66996 −0.10362 15.59894 639 −0.54361 −1.04846 15.59894 0.55828 −0.13749 15.59894 640 −0.44495 −0.98678 15.59894 0.44338 −0.17454 15.59894 641 −0.34564 −0.92618 15.59894 0.32922 −0.21381 15.59894 642 −0.24569 −0.86661 15.59894 0.21598 −0.25565 15.59894 643 −0.14520 −0.80797 15.59894 0.10388 −0.30047 15.59894 644 −0.04425 −0.75013 15.59894 −0.00687 −0.34850 15.59894 645 0.05708 −0.69295 15.59894 −0.11610 −0.39992 15.59894 646 0.15871 −0.63631 15.59894 −0.22361 −0.45484 15.59894 647 0.26069 −0.58030 15.59894 −0.32929 −0.51318 15.59894 648 0.36307 −0.52503 15.59894 −0.43306 −0.57488 15.59894 649 0.46595 −0.47070 15.59894 −0.53480 −0.63985 15.59894 650 0.56948 −0.41760 15.59894 −0.63445 −0.70800 15.59894 651 0.67372 −0.36593 15.59894 −0.73196 −0.77918 15.59894 652 0.77517 −0.31736 15.59894 −0.82414 −0.85074 15.59894 653 0.87369 −0.27169 15.59894 −0.91114 −0.92234 15.59894 654 0.96920 −0.22877 15.59894 −0.99311 −0.99366 15.59894 655 1.06163 −0.18846 15.59894 −1.07015 −1.06444 15.59894 656 1.15091 −0.15066 15.59894 −1.14241 −1.13445 15.59894 657 1.23699 −0.11524 15.59894 −1.20991 −1.20352 15.59894 658 1.31980 −0.08209 15.59894 −1.27262 −1.27158 15.59894 659 1.39928 −0.05106 15.59894 −1.33086 −1.33827 15.59894 660 1.46811 −0.02475 15.59894 −1.38236 −1.40012 15.59894 661 1.52985 −0.00161 15.59894 −1.42698 −1.45717 15.59894 662 1.58811 0.01973 15.59894 −1.46505 −1.50909 15.59894 663 1.64291 0.03927 15.59894 −1.49914 −1.55890 15.59894 664 1.69051 0.05588 15.59894 −1.52725 −1.60303 15.59894 665 1.72715 0.06861 15.59894 −1.54786 −1.63759 15.59894 666 1.75644 0.07882 15.59894 −1.56340 −1.66578 15.59894 667 1.77840 0.08653 15.59894 −1.57360 −1.68766 15.59894 668 1.79485 0.09235 15.59894 −1.57925 −1.70484 15.59894 669 1.80664 0.09868 15.59894 −1.58055 −1.71480 15.59894 670 1.81021 0.10549 15.59894 −1.57968 −1.72115 15.59894 671 1.81068 0.11010 15.59894 −1.57830 −1.72405 15.59894 672 1.81049 0.11203 15.59894 −1.57730 −1.72531 15.59894 673 −1.57656 −1.76188 15.28871 1.81041 0.08398 15.28871 674 −1.57597 −1.76238 15.28871 1.81010 0.08514 15.28871 675 −1.57467 −1.76322 15.28871 1.80940 0.08702 15.28871 676 −1.57175 −1.76425 15.28871 1.80680 0.09107 15.28871 677 −1.56557 −1.76451 15.28871 1.80023 0.09556 15.28871 678 −1.55610 −1.76246 15.28871 1.78631 0.09574 15.28871 679 −1.53995 −1.75584 15.28871 1.76833 0.09377 15.28871 680 −1.51948 −1.74475 15.28871 1.74437 0.09095 15.28871 681 −1.49307 −1.72842 15.28871 1.71246 0.08688 15.28871 682 −1.46052 −1.70728 15.28871 1.67263 0.08138 15.28871 683 −1.41864 −1.67913 15.28871 1.62091 0.07375 15.28871 684 −1.37077 −1.64599 15.28871 1.56131 0.06453 15.28871 685 −1.32005 −1.61014 15.28871 1.49780 0.05424 15.28871 686 −1.26328 −1.56941 15.28871 1.43043 0.04269 15.28871 687 −1.20030 −1.52403 15.28871 1.35527 0.02894 15.28871 688 −1.13070 −1.47454 15.28871 1.26847 0.01191 15.28871 689 −1.05767 −1.42320 15.28871 1.17796 −0.00708 15.28871 690 −0.98125 −1.36992 15.28871 1.08379 −0.02820 15.28871 691 −0.90132 −1.31488 15.28871 0.98604 −0.05165 15.28871 692 −0.81782 −1.25820 15.28871 0.88478 −0.07762 15.28871 693 −0.73068 −1.19998 15.28871 0.78006 −0.10626 15.28871 694 −0.63981 −1.14036 15.28871 0.67197 −0.13778 15.28871 695 −0.54513 −1.07948 15.28871 0.56061 −0.17237 15.28871 696 −0.44655 −1.01749 15.28871 0.44608 −0.21024 15.28871 697 −0.34732 −0.95655 15.28871 0.33233 −0.25037 15.28871 698 −0.24746 −0.89665 15.28871 0.21950 −0.29305 15.28871 699 −0.14703 −0.83771 15.28871 0.10783 −0.33864 15.28871 700 −0.04610 −0.77964 15.28871 −0.00253 −0.38735 15.28871 701 0.05525 −0.72229 15.28871 −0.11137 −0.43935 15.28871 702 0.15694 −0.66556 15.28871 −0.21851 −0.49477 15.28871 703 0.25902 −0.60952 15.28871 −0.32385 −0.55353 15.28871 704 0.36152 −0.55427 15.28871 −0.42730 −0.61557 15.28871 705 0.46455 −0.49999 15.28871 −0.52877 −0.68079 15.28871 706 0.56822 −0.44696 15.28871 −0.62819 −0.74910 15.28871 707 0.67259 −0.39533 15.28871 −0.72554 −0.82034 15.28871 708 0.77416 −0.34680 15.28871 −0.81762 −0.89188 15.28871 709 0.87279 −0.30115 15.28871 −0.90459 −0.96336 15.28871 710 0.96841 −0.25825 15.28871 −0.98659 −1.03451 15.28871 711 1.06094 −0.21795 15.28871 −1.06374 −1.10506 15.28871 712 1.15031 −0.18014 15.28871 −1.13617 −1.17477 15.28871 713 1.23646 −0.14470 15.28871 −1.20392 −1.24349 15.28871 714 1.31933 −0.11150 15.28871 −1.26694 −1.31117 15.28871 715 1.39887 −0.08042 15.28871 −1.32557 −1.37741 15.28871 716 1.46775 −0.05406 15.28871 −1.37751 −1.43880 15.28871 717 1.52953 −0.03089 15.28871 −1.42255 −1.49545 15.28871 718 1.58784 −0.00950 15.28871 −1.46110 −1.54696 15.28871 719 1.64267 0.01008 15.28871 −1.49578 −1.59631 15.28871 720 1.69030 0.02674 15.28871 −1.52448 −1.63999 15.28871 721 1.72696 0.03951 15.28871 −1.54555 −1.67424 15.28871 722 1.75627 0.04976 15.28871 −1.56152 −1.70216 15.28871 723 1.77824 0.05751 15.28871 −1.57217 −1.72380 15.28871 724 1.79470 0.06335 15.28871 −1.57829 −1.74081 15.28871 725 1.80660 0.06954 15.28871 −1.57996 −1.75070 15.28871 726 1.81028 0.07629 15.28871 −1.57936 −1.75708 15.28871 727 1.81080 0.08090 15.28871 −1.57809 −1.76003 15.28871 728 1.81063 0.08283 15.28871 −1.57713 −1.76131 15.28871 729 −1.57630 −1.78193 14.81308 1.80917 0.08829 14.81308 730 −1.57571 −1.78244 14.81308 1.80887 0.08946 14.81308 731 −1.57439 −1.78326 14.81308 1.80816 0.09134 14.81308 732 −1.57143 −1.78420 14.81308 1.80551 0.09535 14.81308 733 −1.56523 −1.78415 14.81308 1.79882 0.09964 14.81308 734 −1.55583 −1.78171 14.81308 1.78486 0.09935 14.81308 735 −1.53983 −1.77461 14.81308 1.76689 0.09717 14.81308 736 −1.51954 −1.76306 14.81308 1.74296 0.09409 14.81308 737 −1.49331 −1.74627 14.81308 1.71108 0.08968 14.81308 738 −1.46102 −1.72452 14.81308 1.67129 0.08379 14.81308 739 −1.41957 −1.69550 14.81308 1.61963 0.07565 14.81308 740 −1.37213 −1.66146 14.81308 1.56009 0.06584 14.81308 741 −1.32173 −1.62488 14.81308 1.49667 0.05492 14.81308 742 −1.26519 −1.58348 14.81308 1.42938 0.04269 14.81308 743 −1.20242 −1.53744 14.81308 1.35434 0.02819 14.81308 744 −1.13308 −1.48717 14.81308 1.26768 0.01027 14.81308 745 −1.06033 −1.43499 14.81308 1.17733 −0.00966 14.81308 746 −0.98416 −1.38091 14.81308 1.08336 −0.03177 14.81308 747 −0.90444 −1.32509 14.81308 0.98582 −0.05626 14.81308 748 −0.82112 −1.26765 14.81308 0.88480 −0.08331 14.81308 749 −0.73412 −1.20868 14.81308 0.78036 −0.11314 14.81308 750 −0.64338 −1.14830 14.81308 0.67261 −0.14594 14.81308 751 −0.54883 −1.08663 14.81308 0.56165 −0.18193 14.81308 752 −0.45040 −1.02378 14.81308 0.44758 −0.22132 14.81308 753 −0.35135 −0.96193 14.81308 0.33434 −0.26302 14.81308 754 −0.25169 −0.90106 14.81308 0.22208 −0.30728 14.81308 755 −0.15145 −0.84116 14.81308 0.11097 −0.35438 14.81308 756 −0.05068 −0.78214 14.81308 0.00119 −0.40449 14.81308 757 0.05055 −0.72392 14.81308 −0.10709 −0.45776 14.81308 758 0.15220 −0.66643 14.81308 −0.21371 −0.51427 14.81308 759 0.25428 −0.60972 14.81308 −0.31857 −0.57398 14.81308 760 0.35684 −0.55389 14.81308 −0.42159 −0.63683 14.81308 761 0.45998 −0.49912 14.81308 −0.52270 −0.70270 14.81308 762 0.56380 −0.44565 14.81308 −0.62184 −0.77149 14.81308 763 0.66834 −0.39362 14.81308 −0.71897 −0.84310 14.81308 764 0.77008 −0.34471 14.81308 −0.81091 −0.91490 14.81308 765 0.86890 −0.29872 14.81308 −0.89780 −0.98656 14.81308 766 0.96471 −0.25551 14.81308 −0.97976 −1.05783 14.81308 767 1.05742 −0.21493 14.81308 −1.05691 −1.12843 14.81308 768 1.14698 −0.17685 14.81308 −1.12940 −1.19813 14.81308 769 1.23331 −0.14115 14.81308 −1.19728 −1.26678 14.81308 770 1.31636 −0.10773 14.81308 −1.26054 −1.33429 14.81308 771 1.39609 −0.07646 14.81308 −1.31950 −1.40028 14.81308 772 1.46513 −0.04995 14.81308 −1.37180 −1.46142 14.81308 773 1.52707 −0.02665 14.81308 −1.41724 −1.51778 14.81308 774 1.58553 −0.00517 14.81308 −1.45633 −1.56891 14.81308 775 1.64050 0.01451 14.81308 −1.49176 −1.61775 14.81308 776 1.68825 0.03127 14.81308 −1.52124 −1.66094 14.81308 777 1.72501 0.04409 14.81308 −1.54286 −1.69486 14.81308 778 1.75440 0.05437 14.81308 −1.55927 −1.72254 14.81308 779 1.77643 0.06212 14.81308 −1.57036 −1.74397 14.81308 780 1.79294 0.06797 14.81308 −1.57699 −1.76080 14.81308 781 1.80503 0.07394 14.81308 −1.57910 −1.77062 14.81308 782 1.80892 0.08059 14.81308 −1.57888 −1.77702 14.81308 783 1.80953 0.08520 14.81308 −1.57777 −1.78003 14.81308 784 1.80938 0.08714 14.81308 −1.57686 −1.78135 14.81308 785 −1.57575 −1.76384 14.36654 1.80443 0.13972 14.36654 786 −1.57515 −1.76434 14.36654 1.80413 0.14089 14.36654 787 −1.57382 −1.76515 14.36654 1.80342 0.14276 14.36654 788 −1.57082 −1.76598 14.36654 1.80071 0.14673 14.36654 789 −1.56460 −1.76568 14.36654 1.79385 0.15070 14.36654 790 −1.55525 −1.76292 14.36654 1.77990 0.14978 14.36654 791 −1.53938 −1.75540 14.36654 1.76201 0.14715 14.36654 792 −1.51924 −1.74342 14.36654 1.73817 0.14350 14.36654 793 −1.49321 −1.72612 14.36654 1.70643 0.13836 14.36654 794 −1.46125 −1.70367 14.36654 1.66682 0.13157 14.36654 795 −1.42029 −1.67366 14.36654 1.61540 0.12230 14.36654 796 −1.37336 −1.63859 14.36654 1.55615 0.11116 14.36654 797 −1.32335 −1.60109 14.36654 1.49304 0.09880 14.36654 798 −1.26719 −1.55879 14.36654 1.42611 0.08505 14.36654 799 −1.20478 −1.51180 14.36654 1.35149 0.06886 14.36654 800 −1.13593 −1.46039 14.36654 1.26533 0.04899 14.36654 801 −1.06370 −1.40696 14.36654 1.17554 0.02701 14.36654 802 −0.98804 −1.35160 14.36654 1.08217 0.00278 14.36654 803 −0.90884 −1.29448 14.36654 0.98529 −0.02388 14.36654 804 −0.82602 −1.23570 14.36654 0.88498 −0.05316 14.36654 805 −0.73950 −1.17539 14.36654 0.78132 −0.08526 14.36654 806 −0.64923 −1.11364 14.36654 0.67440 −0.12037 14.36654 807 −0.55513 −1.05057 14.36654 0.56433 −0.15870 14.36654 808 −0.45717 −0.98626 14.36654 0.45122 −0.20046 14.36654 809 −0.35859 −0.92292 14.36654 0.33895 −0.24443 14.36654 810 −0.25939 −0.86053 14.36654 0.22764 −0.29077 14.36654 811 −0.15961 −0.79908 14.36654 0.11744 −0.33971 14.36654 812 −0.05928 −0.73854 14.36654 0.00851 −0.39140 14.36654 813 0.04157 −0.67886 14.36654 −0.09901 −0.44595 14.36654 814 0.14293 −0.62005 14.36654 −0.20500 −0.50343 14.36654 815 0.24481 −0.56217 14.36654 −0.30935 −0.56383 14.36654 816 0.34729 −0.50532 14.36654 −0.41199 −0.62710 14.36654 817 0.45043 −0.44970 14.36654 −0.51284 −0.69318 14.36654 818 0.55433 −0.39551 14.36654 −0.61185 −0.76199 14.36654 819 0.65901 −0.34286 14.36654 −0.70895 −0.83346 14.36654 820 0.76094 −0.29343 14.36654 −0.80096 −0.90501 14.36654 821 0.85997 −0.24702 14.36654 −0.88799 −0.97635 14.36654 822 0.95603 −0.20348 14.36654 −0.97018 −1.04721 14.36654 823 1.04902 −0.16265 14.36654 −1.04763 −1.11736 14.36654 824 1.13887 −0.12439 14.36654 −1.12048 −1.18656 14.36654 825 1.22551 −0.08859 14.36654 −1.18881 −1.25464 14.36654 826 1.30888 −0.05513 14.36654 −1.25264 −1.32150 14.36654 827 1.38893 −0.02388 14.36654 −1.31223 −1.38682 14.36654 828 1.45828 0.00257 14.36654 −1.36511 −1.44736 14.36654 829 1.52049 0.02578 14.36654 −1.41125 −1.50308 14.36654 830 1.57921 0.04718 14.36654 −1.45115 −1.55352 14.36654 831 1.63443 0.06678 14.36654 −1.48754 −1.60158 14.36654 832 1.68239 0.08345 14.36654 −1.51796 −1.64406 14.36654 833 1.71932 0.09618 14.36654 −1.54026 −1.67749 14.36654 834 1.74886 0.10637 14.36654 −1.55715 −1.70485 14.36654 835 1.77101 0.11402 14.36654 −1.56862 −1.72605 14.36654 836 1.78762 0.11979 14.36654 −1.57564 −1.74271 14.36654 837 1.79992 0.12547 14.36654 −1.57807 −1.75244 14.36654 838 1.80404 0.13201 14.36654 −1.57814 −1.75885 14.36654 839 1.80476 0.13662 14.36654 −1.57717 −1.76190 14.36654 840 1.80463 0.13857 14.36654 −1.57629 −1.76325 14.36654 841 −1.57504 −1.73844 14.05528 1.79524 0.20351 14.05528 842 −1.57445 −1.73895 14.05528 1.79494 0.20468 14.05528 843 −1.57309 −1.73974 14.05528 1.79423 0.20656 14.05528 844 −1.57006 −1.74046 14.05528 1.79148 0.21049 14.05528 845 −1.56384 −1.73989 14.05528 1.78450 0.21422 14.05528 846 −1.55455 −1.73681 14.05528 1.77058 0.21289 14.05528 847 −1.53884 −1.72883 14.05528 1.75273 0.20999 14.05528 848 −1.51894 −1.71632 14.05528 1.72896 0.20597 14.05528 849 −1.49327 −1.69833 14.05528 1.69732 0.20036 14.05528 850 −1.46179 −1.67500 14.05528 1.65783 0.19298 14.05528 851 −1.42144 −1.64391 14.05528 1.60658 0.18292 14.05528 852 −1.37515 −1.60769 14.05528 1.54754 0.17085 14.05528 853 −1.32576 −1.56907 14.05528 1.48467 0.15744 14.05528 854 −1.27022 −1.52560 14.05528 1.41802 0.14253 14.05528 855 −1.20845 −1.47736 14.05528 1.34373 0.12499 14.05528 856 −1.14031 −1.42456 14.05528 1.25800 0.10352 14.05528 857 −1.06881 −1.36970 14.05528 1.16869 0.07980 14.05528 858 −0.99384 −1.31292 14.05528 1.07588 0.05368 14.05528 859 −0.91532 −1.25435 14.05528 0.97963 0.02498 14.05528 860 −0.83315 −1.19412 14.05528 0.88003 −0.00648 14.05528 861 −0.74726 −1.13235 14.05528 0.77717 −0.04092 14.05528 862 −0.65756 −1.06917 14.05528 0.67116 −0.07852 14.05528 863 −0.56400 −1.00468 14.05528 0.56209 −0.11950 14.05528 864 −0.46653 −0.93896 14.05528 0.45010 −0.16402 14.05528 865 −0.36839 −0.87425 14.05528 0.33900 −0.21074 14.05528 866 −0.26961 −0.81053 14.05528 0.22887 −0.25970 14.05528 867 −0.17021 −0.74777 14.05528 0.11982 −0.31102 14.05528 868 −0.07023 −0.68595 14.05528 0.01197 −0.36482 14.05528 869 0.03034 −0.62509 14.05528 −0.09456 −0.42119 14.05528 870 0.13150 −0.56520 14.05528 −0.19965 −0.48019 14.05528 871 0.23325 −0.50633 14.05528 −0.30324 −0.54178 14.05528 872 0.33563 −0.44858 14.05528 −0.40526 −0.60595 14.05528 873 0.43873 −0.39210 14.05528 −0.50561 −0.67270 14.05528 874 0.54263 −0.33711 14.05528 −0.60423 −0.74197 14.05528 875 0.64735 −0.28371 14.05528 −0.70106 −0.81374 14.05528 876 0.74933 −0.23359 14.05528 −0.79287 −0.88546 14.05528 877 0.84846 −0.18657 14.05528 −0.87979 −0.95685 14.05528 878 0.94463 −0.14248 14.05528 −0.96195 −1.02767 14.05528 879 1.03776 −0.10117 14.05528 −1.03947 −1.09768 14.05528 880 1.12777 −0.06250 14.05528 −1.11248 −1.16665 14.05528 881 1.21457 −0.02633 14.05528 −1.18108 −1.23440 14.05528 882 1.29813 0.00745 14.05528 −1.24532 −1.30082 14.05528 883 1.37835 0.03899 14.05528 −1.30540 −1.36564 14.05528 884 1.44786 0.06566 14.05528 −1.35879 −1.42568 14.05528 885 1.51022 0.08908 14.05528 −1.40556 −1.48084 14.05528 886 1.56909 0.11066 14.05528 −1.44614 −1.53069 14.05528 887 1.62444 0.13043 14.05528 −1.48333 −1.57810 14.05528 888 1.67253 0.14723 14.05528 −1.51456 −1.61996 14.05528 889 1.70956 0.16005 14.05528 −1.53755 −1.65291 14.05528 890 1.73918 0.17029 14.05528 −1.55500 −1.67989 14.05528 891 1.76140 0.17799 14.05528 −1.56689 −1.70085 14.05528 892 1.77805 0.18378 14.05528 −1.57427 −1.71734 14.05528 893 1.79049 0.18932 14.05528 −1.57697 −1.72700 14.05528 894 1.79476 0.19578 14.05528 −1.57728 −1.73340 14.05528 895 1.79555 0.20040 14.05528 −1.57643 −1.73649 14.05528 896 1.79544 0.20235 14.05528 −1.57559 −1.73785 14.05528 897 −1.57377 −1.69170 13.70849 1.78146 0.29314 13.70849 898 −1.57317 −1.69221 13.70849 1.78116 0.29431 13.70849 899 −1.57179 −1.69296 13.70849 1.78045 0.29618 13.70849 900 −1.56872 −1.69353 13.70849 1.77766 0.30008 13.70849 901 −1.56251 −1.69264 13.70849 1.77056 0.30358 13.70849 902 −1.55335 −1.68914 13.70849 1.75665 0.30195 13.70849 903 −1.53789 −1.68057 13.70849 1.73883 0.29889 13.70849 904 −1.51839 −1.66734 13.70849 1.71510 0.29466 13.70849 905 −1.49331 −1.64838 13.70849 1.68350 0.28875 13.70849 906 −1.46257 −1.62390 13.70849 1.64407 0.28102 13.70849 907 −1.42313 −1.59144 13.70849 1.59291 0.27048 13.70849 908 −1.37781 −1.55376 13.70849 1.53398 0.25782 13.70849 909 −1.32936 −1.51369 13.70849 1.47126 0.24372 13.70849 910 −1.27477 −1.46872 13.70849 1.40478 0.22804 13.70849 911 −1.21396 −1.41894 13.70849 1.33070 0.20957 13.70849 912 −1.14681 −1.36449 13.70849 1.24525 0.18695 13.70849 913 −1.07626 −1.30800 13.70849 1.15628 0.16194 13.70849 914 −1.00219 −1.24962 13.70849 1.06387 0.13436 13.70849 915 −0.92451 −1.18949 13.70849 0.96811 0.10402 13.70849 916 −0.84312 −1.12774 13.70849 0.86909 0.07072 13.70849 917 −0.75792 −1.06451 13.70849 0.76692 0.03425 13.70849 918 −0.66884 −0.99994 13.70849 0.66171 −0.00561 13.70849 919 −0.57583 −0.93410 13.70849 0.55360 −0.04906 13.70849 920 −0.47885 −0.86708 13.70849 0.44270 −0.09632 13.70849 921 −0.38115 −0.80113 13.70849 0.33282 −0.14586 13.70849 922 −0.28275 −0.73621 13.70849 0.22396 −0.19765 13.70849 923 −0.18372 −0.67225 13.70849 0.11620 −0.25166 13.70849 924 −0.08408 −0.60927 13.70849 0.00961 −0.30796 13.70849 925 0.01620 −0.54730 13.70849 −0.09570 −0.36660 13.70849 926 0.11711 −0.48635 13.70849 −0.19966 −0.42761 13.70849 927 0.21864 −0.42645 13.70849 −0.30224 −0.49092 13.70849 928 0.32082 −0.36766 13.70849 −0.40337 −0.55652 13.70849 929 0.42371 −0.31014 13.70849 −0.50296 −0.62443 13.70849 930 0.52743 −0.25411 13.70849 −0.60092 −0.69466 13.70849 931 0.63200 −0.19969 13.70849 −0.69717 −0.76723 13.70849 932 0.73387 −0.14863 13.70849 −0.78849 −0.83961 13.70849 933 0.83294 −0.10076 13.70849 −0.87497 −0.91157 13.70849 934 0.92909 −0.05592 13.70849 −0.95674 −0.98286 13.70849 935 1.02224 −0.01396 13.70849 −1.03393 −1.05326 13.70849 936 1.11230 0.02527 13.70849 −1.10668 −1.12252 13.70849 937 1.19919 0.06193 13.70849 −1.17512 −1.19046 13.70849 938 1.28285 0.09613 13.70849 −1.23935 −1.25691 13.70849 939 1.36320 0.12801 13.70849 −1.29951 −1.32167 13.70849 940 1.43284 0.15494 13.70849 −1.35307 −1.38158 13.70849 941 1.49533 0.17854 13.70849 −1.40016 −1.43647 13.70849 942 1.55432 0.20028 13.70849 −1.44119 −1.48597 13.70849 943 1.60981 0.22017 13.70849 −1.47894 −1.53295 13.70849 944 1.65802 0.23704 13.70849 −1.51082 −1.57433 13.70849 945 1.69515 0.24990 13.70849 −1.53439 −1.60687 13.70849 946 1.72487 0.26016 13.70849 −1.55234 −1.63353 13.70849 947 1.74715 0.26786 13.70849 −1.56461 −1.65428 13.70849 948 1.76386 0.27364 13.70849 −1.57231 −1.67063 13.70849 949 1.77643 0.27903 13.70849 −1.57527 −1.68022 13.70849 950 1.78088 0.28540 13.70849 −1.57582 −1.68660 13.70849 951 1.78174 0.29001 13.70849 −1.57511 −1.68972 13.70849 952 1.78165 0.29197 13.70849 −1.57430 −1.69110 13.70849 953 −1.57254 −1.64631 13.48192 1.77262 0.35535 13.48192 954 −1.57194 −1.64681 13.48192 1.77233 0.35651 13.48192 955 −1.57055 −1.64754 13.48192 1.77161 0.35839 13.48192 956 −1.56746 −1.64803 13.48192 1.76880 0.36227 13.48192 957 −1.56129 −1.64698 13.48192 1.76166 0.36564 13.48192 958 −1.55220 −1.64327 13.48192 1.74777 0.36387 13.48192 959 −1.53691 −1.63439 13.48192 1.72998 0.36074 13.48192 960 −1.51765 −1.62078 13.48192 1.70628 0.35642 13.48192 961 −1.49295 −1.60133 13.48192 1.67473 0.35041 13.48192 962 −1.46266 −1.57628 13.48192 1.63535 0.34254 13.48192 963 −1.42374 −1.54317 13.48192 1.58427 0.33183 13.48192 964 −1.37895 −1.50483 13.48192 1.52544 0.31895 13.48192 965 −1.33102 −1.46411 13.48192 1.46282 0.30461 13.48192 966 −1.27695 −1.41848 13.48192 1.39646 0.28864 13.48192 967 −1.21665 −1.36804 13.48192 1.32253 0.26984 13.48192 968 −1.15001 −1.31293 13.48192 1.23727 0.24678 13.48192 969 −1.07993 −1.25582 13.48192 1.14853 0.22125 13.48192 970 −1.00630 −1.19685 13.48192 1.05639 0.19306 13.48192 971 −0.92902 −1.13616 13.48192 0.96093 0.16203 13.48192 972 −0.84798 −1.07390 13.48192 0.86226 0.12796 13.48192 973 −0.76309 −1.01020 13.48192 0.76048 0.09065 13.48192 974 −0.67429 −0.94519 13.48192 0.65572 0.04988 13.48192 975 −0.58153 −0.87893 13.48192 0.54811 0.00543 13.48192 976 −0.48480 −0.81150 13.48192 0.43779 −0.04291 13.48192 977 −0.38732 −0.74514 13.48192 0.32853 −0.09360 13.48192 978 −0.28917 −0.67979 13.48192 0.22035 −0.14655 13.48192 979 −0.19040 −0.61538 13.48192 0.11326 −0.20167 13.48192 980 −0.09102 −0.55191 13.48192 0.00733 −0.25901 13.48192 981 0.00899 −0.48944 13.48192 −0.09734 −0.31859 13.48192 982 0.10963 −0.42797 13.48192 −0.20070 −0.38042 13.48192 983 0.21089 −0.36755 13.48192 −0.30274 −0.44442 13.48192 984 0.31280 −0.30823 13.48192 −0.40339 −0.51057 13.48192 985 0.41544 −0.25018 13.48192 −0.50257 −0.57892 13.48192 986 0.51891 −0.19363 13.48192 −0.60018 −0.64948 13.48192 987 0.62327 −0.13872 13.48192 −0.69611 −0.72231 13.48192 988 0.72495 −0.08721 13.48192 −0.78716 −0.79489 13.48192 989 0.82385 −0.03892 13.48192 −0.87339 −0.86700 13.48192 990 0.91986 0.00629 13.48192 −0.95493 −0.93843 13.48192 991 1.01290 0.04858 13.48192 −1.03190 −1.00894 13.48192 992 1.10288 0.08807 13.48192 −1.10446 −1.07829 13.48192 993 1.18972 0.12492 13.48192 −1.17274 −1.14628 13.48192 994 1.27336 0.15923 13.48192 −1.23685 −1.21274 13.48192 995 1.35373 0.19115 13.48192 −1.29693 −1.27748 13.48192 996 1.42340 0.21805 13.48192 −1.35045 −1.33735 13.48192 997 1.48593 0.24159 13.48192 −1.39758 −1.39213 13.48192 998 1.54498 0.26325 13.48192 −1.43870 −1.44149 13.48192 999 1.60051 0.28304 13.48192 −1.47659 −1.48829 13.48192 1000 1.64878 0.29982 13.48192 −1.50865 −1.52948 13.48192 1001 1.68596 0.31258 13.48192 −1.53243 −1.56183 13.48192 1002 1.71571 0.32275 13.48192 −1.55055 −1.58835 13.48192 1003 1.73803 0.33037 13.48192 −1.56295 −1.60899 13.48192 1004 1.75477 0.33608 13.48192 −1.57077 −1.62527 13.48192 1005 1.76741 0.34132 13.48192 −1.57384 −1.63481 13.48192 1006 1.77197 0.34761 13.48192 −1.57451 −1.64118 13.48192 1007 1.77289 0.35222 13.48192 −1.57386 −1.64431 13.48192 1008 1.77280 0.35418 13.48192 −1.57308 −1.64571 13.48192 1009 −1.57106 −1.59887 13.27660 1.76268 0.41085 13.27660 1010 −1.57046 −1.59937 13.27660 1.76239 0.41202 13.27660 1011 −1.56907 −1.60009 13.27660 1.76168 0.41389 13.27660 1012 −1.56597 −1.60053 13.27660 1.75887 0.41775 13.27660 1013 −1.55982 −1.59938 13.27660 1.75170 0.42102 13.27660 1014 −1.55079 −1.59555 13.27660 1.73785 0.41913 13.27660 1015 −1.53562 −1.58652 13.27660 1.72011 0.41595 13.27660 1016 −1.51654 −1.57273 13.27660 1.69647 0.41156 13.27660 1017 −1.49208 −1.55303 13.27660 1.66501 0.40547 13.27660 1018 −1.46208 −1.52771 13.27660 1.62575 0.39750 13.27660 1019 −1.42348 −1.49432 13.27660 1.57482 0.38664 13.27660 1020 −1.37903 −1.45571 13.27660 1.51617 0.37357 13.27660 1021 −1.33141 −1.41475 13.27660 1.45374 0.35901 13.27660 1022 −1.27767 −1.36888 13.27660 1.38760 0.34280 13.27660 1023 −1.21771 −1.31819 13.27660 1.31392 0.32372 13.27660 1024 −1.15140 −1.26285 13.27660 1.22895 0.30030 13.27660 1025 −1.08164 −1.20553 13.27660 1.14055 0.27433 13.27660 1026 −1.00832 −1.14637 13.27660 1.04879 0.24563 13.27660 1027 −0.93133 −1.08550 13.27660 0.95376 0.21401 13.27660 1028 −0.85058 −1.02308 13.27660 0.85556 0.17931 13.27660 1029 −0.76598 −0.95924 13.27660 0.75428 0.14135 13.27660 1030 −0.67746 −0.89407 13.27660 0.65004 0.09993 13.27660 1031 −0.58499 −0.82766 13.27660 0.54297 0.05485 13.27660 1032 −0.48857 −0.76004 13.27660 0.43323 0.00586 13.27660 1033 −0.39143 −0.69347 13.27660 0.32457 −0.04549 13.27660 1034 −0.29364 −0.62785 13.27660 0.21701 −0.09910 13.27660 1035 −0.19526 −0.56311 13.27660 0.11056 −0.15488 13.27660 1036 −0.09630 −0.49926 13.27660 0.00529 −0.21285 13.27660 1037 0.00326 −0.43636 13.27660 −0.09875 −0.27301 13.27660 1038 0.10344 −0.37445 13.27660 −0.20151 −0.33533 13.27660 1039 0.20426 −0.31359 13.27660 −0.30298 −0.39972 13.27660 1040 0.30576 −0.25385 13.27660 −0.40312 −0.46616 13.27660 1041 0.40801 −0.19542 13.27660 −0.50184 −0.53470 13.27660 1042 0.51112 −0.13852 13.27660 −0.59905 −0.60536 13.27660 1043 0.61512 −0.08328 13.27660 −0.69463 −0.67821 13.27660 1044 0.71649 −0.03145 13.27660 −0.78538 −0.75074 13.27660 1045 0.81508 0.01714 13.27660 −0.87137 −0.82276 13.27660 1046 0.91079 0.06266 13.27660 −0.95271 −0.89405 13.27660 1047 1.00357 0.10521 13.27660 −1.02952 −0.96440 13.27660 1048 1.09332 0.14490 13.27660 −1.10195 −1.03357 13.27660 1049 1.17999 0.18185 13.27660 −1.17012 −1.10136 13.27660 1050 1.26349 0.21618 13.27660 −1.23417 −1.16759 13.27660 1051 1.34376 0.24805 13.27660 −1.29424 −1.23209 13.27660 1052 1.41337 0.27485 13.27660 −1.34776 −1.29170 13.27660 1053 1.47586 0.29826 13.27660 −1.39497 −1.34620 13.27660 1054 1.53487 0.31978 13.27660 −1.43618 −1.39530 13.27660 1055 1.59038 0.33943 13.27660 −1.47420 −1.44183 13.27660 1056 1.63863 0.35606 13.27660 −1.50641 −1.48275 13.27660 1057 1.67580 0.36868 13.27660 −1.53036 −1.51487 13.27660 1058 1.70556 0.37872 13.27660 −1.54862 −1.54120 13.27660 1059 1.72789 0.38622 13.27660 −1.56113 −1.56172 13.27660 1060 1.74463 0.39184 13.27660 −1.56906 −1.57790 13.27660 1061 1.75732 0.39693 13.27660 −1.57221 −1.58739 13.27660 1062 1.76197 0.40314 13.27660 −1.57296 −1.59374 13.27660 1063 1.76293 0.40773 13.27660 −1.57236 −1.59687 13.27660 1064 1.76286 0.40969 13.27660 −1.57159 −1.59827 13.27660 1065 −1.56696 −1.51382 12.88459 1.73654 0.50907 12.88459 1066 −1.56635 −1.51432 12.88459 1.73626 0.51023 12.88459 1067 −1.56495 −1.51499 12.88459 1.73556 0.51209 12.88459 1068 −1.56186 −1.51534 12.88459 1.73273 0.51590 12.88459 1069 −1.55576 −1.51405 12.88459 1.72555 0.51900 12.88459 1070 −1.54683 −1.51012 12.88459 1.71180 0.51698 12.88459 1071 −1.53181 −1.50099 12.88459 1.69419 0.51375 12.88459 1072 −1.51290 −1.48714 12.88459 1.67073 0.50929 12.88459 1073 −1.48865 −1.46741 12.88459 1.63950 0.50309 12.88459 1074 −1.45893 −1.44205 12.88459 1.60054 0.49497 12.88459 1075 −1.42066 −1.40864 12.88459 1.55001 0.48387 12.88459 1076 −1.37652 −1.37007 12.88459 1.49185 0.47044 12.88459 1077 −1.32923 −1.32917 12.88459 1.42997 0.45543 12.88459 1078 −1.27586 −1.28336 12.88459 1.36442 0.43869 12.88459 1079 −1.21634 −1.23272 12.88459 1.29142 0.41899 12.88459 1080 −1.15053 −1.17740 12.88459 1.20726 0.39488 12.88459 1081 −1.08132 −1.12007 12.88459 1.11970 0.36821 12.88459 1082 −1.00861 −1.06084 12.88459 1.02884 0.33878 12.88459 1083 −0.93229 −0.99986 12.88459 0.93478 0.30637 12.88459 1084 −0.85228 −0.93724 12.88459 0.83763 0.27075 12.88459 1085 −0.76851 −0.87311 12.88459 0.73751 0.23175 12.88459 1086 −0.68092 −0.80754 12.88459 0.63454 0.18917 12.88459 1087 −0.58951 −0.74057 12.88459 0.52886 0.14280 12.88459 1088 −0.49426 −0.67223 12.88459 0.42063 0.09242 12.88459 1089 −0.39840 −0.60475 12.88459 0.31355 0.03963 12.88459 1090 −0.30200 −0.53805 12.88459 0.20764 −0.01548 12.88459 1091 −0.20510 −0.47207 12.88459 0.10293 −0.07283 12.88459 1092 −0.10771 −0.40683 12.88459 −0.00054 −0.13238 12.88459 1093 −0.00975 −0.34244 12.88459 −0.10276 −0.19406 12.88459 1094 0.08886 −0.27904 12.88459 −0.20374 −0.25774 12.88459 1095 0.18818 −0.21677 12.88459 −0.30351 −0.32331 12.88459 1096 0.28828 −0.15577 12.88459 −0.40205 −0.39072 12.88459 1097 0.38927 −0.09625 12.88459 −0.49928 −0.45999 12.88459 1098 0.49124 −0.03842 12.88459 −0.59514 −0.53115 12.88459 1099 0.59422 0.01760 12.88459 −0.68954 −0.60424 12.88459 1100 0.69467 0.07004 12.88459 −0.77930 −0.67677 12.88459 1101 0.79248 0.11908 12.88459 −0.86451 −0.74858 12.88459 1102 0.88753 0.16486 12.88459 −0.94524 −0.81948 12.88459 1103 0.97975 0.20750 12.88459 −1.02163 −0.88927 12.88459 1104 1.06903 0.24715 12.88459 −1.09379 −0.95777 12.88459 1105 1.15529 0.28395 12.88459 −1.16184 −1.02478 12.88459 1106 1.23843 0.31807 12.88459 −1.22591 −1.09015 12.88459 1107 1.31838 0.34968 12.88459 −1.28611 −1.15371 12.88459 1108 1.38772 0.37621 12.88459 −1.33991 −1.21237 12.88459 1109 1.44999 0.39933 12.88459 −1.38749 −1.26592 12.88459 1110 1.50882 0.42052 12.88459 −1.42910 −1.31412 12.88459 1111 1.56417 0.43979 12.88459 −1.46757 −1.35976 12.88459 1112 1.61231 0.45602 12.88459 −1.50027 −1.39984 12.88459 1113 1.64941 0.46827 12.88459 −1.52470 −1.43126 12.88459 1114 1.67913 0.47797 12.88459 −1.54340 −1.45702 12.88459 1115 1.70144 0.48519 12.88459 −1.55625 −1.47714 12.88459 1116 1.71817 0.49059 12.88459 −1.56446 −1.49304 12.88459 1117 1.73093 0.49536 12.88459 −1.56781 −1.50240 12.88459 1118 1.73573 0.50141 12.88459 −1.56872 −1.50869 12.88459 1119 1.73676 0.50596 12.88459 −1.56821 −1.51181 12.88459 1120 1.73671 0.50791 12.88459 −1.56748 −1.51322 12.88459 1121 −1.56217 −1.46197 12.54075 1.72736 0.58965 12.54075 1122 −1.56156 −1.46246 12.54075 1.72708 0.59081 12.54075 1123 −1.56014 −1.46310 12.54075 1.72638 0.59267 12.54075 1124 −1.55704 −1.46335 12.54075 1.72352 0.59645 12.54075 1125 −1.55096 −1.46191 12.54075 1.71628 0.59939 12.54075 1126 −1.54207 −1.45786 12.54075 1.70255 0.59727 12.54075 1127 −1.52712 −1.44857 12.54075 1.68494 0.59401 12.54075 1128 −1.50829 −1.43455 12.54075 1.66150 0.58951 12.54075 1129 −1.48416 −1.41461 12.54075 1.63029 0.58325 12.54075 1130 −1.45458 −1.38900 12.54075 1.59136 0.57503 12.54075 1131 −1.41648 −1.35530 12.54075 1.54089 0.56371 12.54075 1132 −1.37251 −1.31642 12.54075 1.48283 0.54993 12.54075 1133 −1.32544 −1.27515 12.54075 1.42108 0.53442 12.54075 1134 −1.27234 −1.22887 12.54075 1.35573 0.51701 12.54075 1135 −1.21317 −1.17766 12.54075 1.28298 0.49645 12.54075 1136 −1.14779 −1.12165 12.54075 1.19916 0.47125 12.54075 1137 −1.07908 −1.06353 12.54075 1.11199 0.44340 12.54075 1138 −1.00695 −1.00340 12.54075 1.02154 0.41278 12.54075 1139 −0.93130 −0.94137 12.54075 0.92791 0.37923 12.54075 1140 −0.85207 −0.87756 12.54075 0.83117 0.34258 12.54075 1141 −0.76918 −0.81206 12.54075 0.73144 0.30266 12.54075 1142 −0.68258 −0.74494 12.54075 0.62885 0.25924 12.54075 1143 −0.59225 −0.67626 12.54075 0.52356 0.21206 12.54075 1144 −0.49816 −0.60607 12.54075 0.41577 0.16081 12.54075 1145 −0.40347 −0.53669 12.54075 0.30920 0.10704 12.54075 1146 −0.30823 −0.46808 12.54075 0.20395 0.05076 12.54075 1147 −0.21245 −0.40021 12.54075 0.10004 −0.00798 12.54075 1148 −0.11609 −0.33317 12.54075 −0.00247 −0.06911 12.54075 1149 −0.01905 −0.26712 12.54075 −0.10361 −0.13249 12.54075 1150 0.07882 −0.20229 12.54075 −0.20344 −0.19793 12.54075 1151 0.17761 −0.13889 12.54075 −0.30201 −0.26523 12.54075 1152 0.27744 −0.07715 12.54075 −0.39934 −0.33433 12.54075 1153 0.37840 −0.01726 12.54075 −0.49536 −0.40522 12.54075 1154 0.48050 0.04065 12.54075 −0.59004 −0.47790 12.54075 1155 0.58369 0.09662 12.54075 −0.68332 −0.55237 12.54075 1156 0.68436 0.14898 12.54075 −0.77210 −0.62606 12.54075 1157 0.78235 0.19797 12.54075 −0.85648 −0.69880 12.54075 1158 0.87754 0.24381 12.54075 −0.93657 −0.77039 12.54075 1159 0.96982 0.28664 12.54075 −1.01248 −0.84067 12.54075 1160 1.05911 0.32660 12.54075 −1.08433 −0.90944 12.54075 1161 1.14534 0.36380 12.54075 −1.15225 −0.97656 12.54075 1162 1.22844 0.39835 12.54075 −1.21634 −1.04188 12.54075 1163 1.30835 0.43036 12.54075 −1.27671 −1.10526 12.54075 1164 1.37769 0.45716 12.54075 −1.33079 −1.16363 12.54075 1165 1.44000 0.48045 12.54075 −1.37876 −1.21681 12.54075 1166 1.49888 0.50173 12.54075 −1.42083 −1.26459 12.54075 1167 1.55432 0.52101 12.54075 −1.45983 −1.30976 12.54075 1168 1.60254 0.53718 12.54075 −1.49311 −1.34935 12.54075 1169 1.63973 0.54936 12.54075 −1.51807 −1.38034 12.54075 1170 1.66952 0.55897 12.54075 −1.53726 −1.40573 12.54075 1171 1.69188 0.56612 12.54075 −1.55052 −1.42557 12.54075 1172 1.70867 0.57144 12.54075 −1.55908 −1.44128 12.54075 1173 1.72151 0.57607 12.54075 −1.56267 −1.45055 12.54075 1174 1.72647 0.58199 12.54075 −1.56378 −1.45680 12.54075 1175 1.72756 0.58654 12.54075 −1.56339 −1.45995 12.54075 1176 1.72753 0.58849 12.54075 −1.56269 −1.46137 12.54075 1177 −1.55914 −1.44072 12.32633 1.71821 0.63829 12.32633 1178 −1.55853 −1.44121 12.32633 1.71793 0.63945 12.32633 1179 −1.55711 −1.44186 12.32633 1.71723 0.64131 12.32633 1180 −1.55400 −1.44212 12.32633 1.71436 0.64508 12.32633 1181 −1.54792 −1.44069 12.32633 1.70709 0.64791 12.32633 1182 −1.53902 −1.43662 12.32633 1.69335 0.64571 12.32633 1183 −1.52411 −1.42724 12.32633 1.67575 0.64243 12.32633 1184 −1.50541 −1.41301 12.32633 1.65230 0.63790 12.32633 1185 −1.48153 −1.39272 12.32633 1.62110 0.63159 12.32633 1186 −1.45220 −1.36675 12.32633 1.58218 0.62327 12.32633 1187 −1.41428 −1.33278 12.32633 1.53174 0.61177 12.32633 1188 −1.37051 −1.29357 12.32633 1.47374 0.59767 12.32633 1189 −1.32372 −1.25188 12.32633 1.41210 0.58173 12.32633 1190 −1.27092 −1.20515 12.32633 1.34688 0.56373 12.32633 1191 −1.21206 −1.15345 12.32633 1.27435 0.54237 12.32633 1192 −1.14704 −1.09690 12.32633 1.19084 0.51610 12.32633 1193 −1.07872 −1.03817 12.32633 1.10407 0.48698 12.32633 1194 −1.00703 −0.97736 12.32633 1.01411 0.45489 12.32633 1195 −0.93189 −0.91457 12.32633 0.92105 0.41971 12.32633 1196 −0.85322 −0.84989 12.32633 0.82496 0.38134 12.32633 1197 −0.77096 −0.78343 12.32633 0.72593 0.33966 12.32633 1198 −0.68502 −0.71527 12.32633 0.62405 0.29452 12.32633 1199 −0.59537 −0.64553 12.32633 0.51946 0.24576 12.32633 1200 −0.50192 −0.57427 12.32633 0.41230 0.19313 12.32633 1201 −0.40780 −0.50393 12.32633 0.30625 0.13831 12.32633 1202 −0.31301 −0.43447 12.32633 0.20137 0.08126 12.32633 1203 −0.21756 −0.36593 12.32633 0.09776 0.02196 12.32633 1204 −0.12138 −0.29842 12.32633 −0.00448 −0.03968 12.32633 1205 −0.02436 −0.23212 12.32633 −0.10530 −0.10362 12.32633 1206 0.07360 −0.16722 12.32633 −0.20471 −0.16972 12.32633 1207 0.17257 −0.10387 12.32633 −0.30278 −0.23780 12.32633 1208 0.27257 −0.04214 12.32633 −0.39952 −0.30777 12.32633 1209 0.37356 0.01792 12.32633 −0.49488 −0.37959 12.32633 1210 0.47553 0.07633 12.32633 −0.58885 −0.45323 12.32633 1211 0.57840 0.13312 12.32633 −0.68140 −0.52864 12.32633 1212 0.67865 0.18655 12.32633 −0.76949 −0.60320 12.32633 1213 0.77615 0.23677 12.32633 −0.85324 −0.67670 12.32633 1214 0.87081 0.28392 12.32633 −0.93279 −0.74893 12.32633 1215 0.96258 0.32809 12.32633 −1.00827 −0.81969 12.32633 1216 1.05140 0.36933 12.32633 −1.07981 −0.88883 12.32633 1217 1.13720 0.40773 12.32633 −1.14752 −0.95619 12.32633 1218 1.21995 0.44335 12.32633 −1.21151 −1.02163 12.32633 1219 1.29958 0.47629 12.32633 −1.27186 −1.08506 12.32633 1220 1.36873 0.50382 12.32633 −1.32598 −1.14342 12.32633 1221 1.43090 0.52768 12.32633 −1.37405 −1.19652 12.32633 1222 1.48968 0.54941 12.32633 −1.41625 −1.24420 12.32633 1223 1.54505 0.56905 12.32633 −1.45543 −1.28923 12.32633 1224 1.59325 0.58548 12.32633 −1.48894 −1.32866 12.32633 1225 1.63043 0.59782 12.32633 −1.51410 −1.35948 12.32633 1226 1.66022 0.60754 12.32633 −1.53348 −1.38474 12.32633 1227 1.68258 0.61477 12.32633 −1.54692 −1.40447 12.32633 1228 1.69937 0.62015 12.32633 −1.55566 −1.42009 12.32633 1229 1.71224 0.62475 12.32633 −1.55939 −1.42930 12.32633 1230 1.71726 0.63063 12.32633 −1.56064 −1.43553 12.32633 1231 1.71839 0.63516 12.32633 −1.56033 −1.43868 12.32633 1232 1.71836 0.63712 12.32633 −1.55965 −1.44012 12.32633 1233 −1.55663 −1.43080 12.11175 1.70757 0.68665 12.11175 1234 −1.55602 −1.43129 12.11175 1.70730 0.68782 12.11175 1235 −1.55460 −1.43195 12.11175 1.70660 0.68968 12.11175 1236 −1.55149 −1.43224 12.11175 1.70374 0.69347 12.11175 1237 −1.54538 −1.43086 12.11175 1.69645 0.69630 12.11175 1238 −1.53645 −1.42680 12.11175 1.68270 0.69406 12.11175 1239 −1.52154 −1.41735 12.11175 1.66507 0.69074 12.11175 1240 −1.50293 −1.40291 12.11175 1.64160 0.68614 12.11175 1241 −1.47926 −1.38227 12.11175 1.61037 0.67974 12.11175 1242 −1.45012 −1.35596 12.11175 1.57141 0.67128 12.11175 1243 −1.41227 −1.32172 12.11175 1.52094 0.65955 12.11175 1244 −1.36860 −1.28222 12.11175 1.46292 0.64511 12.11175 1245 −1.32194 −1.24016 12.11175 1.40128 0.62872 12.11175 1246 −1.26929 −1.19303 12.11175 1.33612 0.61015 12.11175 1247 −1.21058 −1.14088 12.11175 1.26369 0.58801 12.11175 1248 −1.14576 −1.08380 12.11175 1.18037 0.56069 12.11175 1249 −1.07769 −1.02448 12.11175 1.09387 0.53031 12.11175 1250 −1.00630 −0.96298 12.11175 1.00429 0.49674 12.11175 1251 −0.93153 −0.89941 12.11175 0.91171 0.45988 12.11175 1252 −0.85329 −0.83385 12.11175 0.81621 0.41963 12.11175 1253 −0.77150 −0.76642 12.11175 0.71788 0.37589 12.11175 1254 −0.68607 −0.69724 12.11175 0.61682 0.32853 12.11175 1255 −0.59691 −0.62644 12.11175 0.51314 0.27741 12.11175 1256 −0.50395 −0.55412 12.11175 0.40698 0.22237 12.11175 1257 −0.41024 −0.48278 12.11175 0.30192 0.16526 12.11175 1258 −0.31579 −0.41242 12.11175 0.19795 0.10619 12.11175 1259 −0.22059 −0.34307 12.11175 0.09511 0.04518 12.11175 1260 −0.12457 −0.27486 12.11175 −0.00652 −0.01784 12.11175 1261 −0.02767 −0.20792 12.11175 −0.10684 −0.08292 12.11175 1262 0.07016 −0.14233 12.11175 −0.20581 −0.15003 12.11175 1263 0.16888 −0.07810 12.11175 −0.30340 −0.21914 12.11175 1264 0.26845 −0.01518 12.11175 −0.39959 −0.29017 12.11175 1265 0.36884 0.04641 12.11175 −0.49436 −0.36310 12.11175 1266 0.47007 0.10661 12.11175 −0.58769 −0.43785 12.11175 1267 0.57214 0.16537 12.11175 −0.67959 −0.51437 12.11175 1268 0.67161 0.22076 12.11175 −0.76704 −0.58996 12.11175 1269 0.76838 0.27291 12.11175 −0.85021 −0.66438 12.11175 1270 0.86238 0.32189 12.11175 −0.92927 −0.73741 12.11175 1271 0.95356 0.36777 12.11175 −1.00435 −0.80885 12.11175 1272 1.04187 0.41060 12.11175 −1.07559 −0.87852 12.11175 1273 1.12727 0.45042 12.11175 −1.14312 −0.94628 12.11175 1274 1.20969 0.48730 12.11175 −1.20703 −1.01200 12.11175 1275 1.28907 0.52133 12.11175 −1.26741 −1.07560 12.11175 1276 1.35806 0.54969 12.11175 −1.32162 −1.13405 12.11175 1277 1.42014 0.57420 12.11175 −1.36985 −1.18717 12.11175 1278 1.47888 0.59646 12.11175 −1.41225 −1.23481 12.11175 1279 1.53425 0.61652 12.11175 −1.45164 −1.27980 12.11175 1280 1.58246 0.63325 12.11175 −1.48538 −1.31913 12.11175 1281 1.61966 0.64579 12.11175 −1.51080 −1.34983 12.11175 1282 1.64948 0.65566 12.11175 −1.53042 −1.37496 12.11175 1283 1.67187 0.66299 12.11175 −1.54405 −1.39461 12.11175 1284 1.68868 0.66843 12.11175 −1.55294 −1.41018 12.11175 1285 1.70157 0.67308 12.11175 −1.55677 −1.41937 12.11175 1286 1.70659 0.67898 12.11175 −1.55809 −1.42559 12.11175 1287 1.70774 0.68352 12.11175 −1.55781 −1.42875 12.11175 1288 1.70772 0.68549 12.11175 −1.55714 −1.43019 12.11175 1289 −1.55506 −1.43809 11.87050 1.69570 0.74109 11.87050 1290 −1.55444 −1.43858 11.87050 1.69544 0.74226 11.87050 1291 −1.55300 −1.43922 11.87050 1.69475 0.74414 11.87050 1292 −1.54987 −1.43946 11.87050 1.69190 0.74797 11.87050 1293 −1.54374 −1.43799 11.87050 1.68461 0.75091 11.87050 1294 −1.53480 −1.43383 11.87050 1.67079 0.74867 11.87050 1295 −1.51987 −1.42421 11.87050 1.65308 0.74527 11.87050 1296 −1.50127 −1.40955 11.87050 1.62950 0.74056 11.87050 1297 −1.47762 −1.38862 11.87050 1.59812 0.73399 11.87050 1298 −1.44850 −1.36196 11.87050 1.55900 0.72529 11.87050 1299 −1.41066 −1.32727 11.87050 1.50832 0.71321 11.87050 1300 −1.36701 −1.28724 11.87050 1.45009 0.69827 11.87050 1301 −1.32040 −1.24459 11.87050 1.38826 0.68129 11.87050 1302 −1.26783 −1.19676 11.87050 1.32293 0.66197 11.87050 1303 −1.20929 −1.14377 11.87050 1.25037 0.63888 11.87050 1304 −1.14471 −1.08567 11.87050 1.16696 0.61031 11.87050 1305 −1.07696 −1.02520 11.87050 1.08047 0.57846 11.87050 1306 −1.00595 −0.96245 11.87050 0.99098 0.54321 11.87050 1307 −0.93160 −0.89751 11.87050 0.89860 0.50443 11.87050 1308 −0.85384 −0.83049 11.87050 0.80343 0.46202 11.87050 1309 −0.77256 −0.76151 11.87050 0.70555 0.41589 11.87050 1310 −0.68766 −0.69070 11.87050 0.60508 0.36593 11.87050 1311 −0.59902 −0.61821 11.87050 0.50213 0.31200 11.87050 1312 −0.50657 −0.54415 11.87050 0.39685 0.25394 11.87050 1313 −0.41334 −0.47109 11.87050 0.29278 0.19375 11.87050 1314 −0.31932 −0.39904 11.87050 0.18985 0.13162 11.87050 1315 −0.22452 −0.32802 11.87050 0.08806 0.06764 11.87050 1316 −0.12890 −0.25810 11.87050 −0.01254 0.00181 11.87050 1317 −0.03246 −0.18932 11.87050 −0.11192 −0.06586 11.87050 1318 0.06477 −0.12168 11.87050 −0.21005 −0.13532 11.87050 1319 0.16275 −0.05511 11.87050 −0.30688 −0.20658 11.87050 1320 0.26145 0.01038 11.87050 −0.40234 −0.27966 11.87050 1321 0.36092 0.07470 11.87050 −0.49639 −0.35456 11.87050 1322 0.46121 0.13774 11.87050 −0.58900 −0.43123 11.87050 1323 0.56234 0.19941 11.87050 −0.68016 −0.50960 11.87050 1324 0.66099 0.25754 11.87050 −0.76692 −0.58694 11.87050 1325 0.75706 0.31224 11.87050 −0.84943 −0.66299 11.87050 1326 0.85050 0.36357 11.87050 −0.92788 −0.73751 11.87050 1327 0.94125 0.41156 11.87050 −1.00242 −0.81031 11.87050 1328 1.02925 0.45628 11.87050 −1.07321 −0.88122 11.87050 1329 1.11444 0.49777 11.87050 −1.14036 −0.95007 11.87050 1330 1.19676 0.53612 11.87050 −1.20403 −1.01673 11.87050 1331 1.27612 0.57143 11.87050 −1.26428 −1.08110 11.87050 1332 1.34516 0.60079 11.87050 −1.31847 −1.14015 11.87050 1333 1.40734 0.62608 11.87050 −1.36680 −1.19370 11.87050 1334 1.46621 0.64899 11.87050 −1.40940 −1.24163 11.87050 1335 1.52174 0.66958 11.87050 −1.44897 −1.28688 11.87050 1336 1.57012 0.68672 11.87050 −1.48291 −1.32640 11.87050 1337 1.60747 0.69954 11.87050 −1.50870 −1.35708 11.87050 1338 1.63741 0.70961 11.87050 −1.52874 −1.38210 11.87050 1339 1.65990 0.71707 11.87050 −1.54263 −1.40172 11.87050 1340 1.67678 0.72260 11.87050 −1.55162 −1.41735 11.87050 1341 1.68970 0.72739 11.87050 −1.55541 −1.42661 11.87050 1342 1.69470 0.73337 11.87050 −1.55664 −1.43289 11.87050 1343 1.69585 0.73794 11.87050 −1.55629 −1.43606 11.87050 1344 1.69585 0.73991 11.87050 −1.55559 −1.43749 11.87050 1345 −1.55465 −1.45817 11.67269 1.68597 0.78572 11.67269 1346 −1.55401 −1.45865 11.67269 1.68571 0.78690 11.67269 1347 −1.55254 −1.45925 11.67269 1.68503 0.78880 11.67269 1348 −1.54938 −1.45938 11.67269 1.68219 0.79268 11.67269 1349 −1.54325 −1.45776 11.67269 1.67486 0.79570 11.67269 1350 −1.53431 −1.45342 11.67269 1.66094 0.79345 11.67269 1351 −1.51941 −1.44353 11.67269 1.64311 0.78997 11.67269 1352 −1.50084 −1.42855 11.67269 1.61937 0.78516 11.67269 1353 −1.47722 −1.40723 11.67269 1.58779 0.77842 11.67269 1354 −1.44816 −1.38007 11.67269 1.54842 0.76951 11.67269 1355 −1.41046 −1.34470 11.67269 1.49743 0.75709 11.67269 1356 −1.36699 −1.30384 11.67269 1.43886 0.74171 11.67269 1357 −1.32058 −1.26030 11.67269 1.37670 0.72418 11.67269 1358 −1.26827 −1.21142 11.67269 1.31104 0.70421 11.67269 1359 −1.21005 −1.15722 11.67269 1.23818 0.68027 11.67269 1360 −1.14586 −1.09775 11.67269 1.15448 0.65057 11.67269 1361 −1.07852 −1.03583 11.67269 1.06776 0.61742 11.67269 1362 −1.00795 −0.97157 11.67269 0.97812 0.58067 11.67269 1363 −0.93404 −0.90505 11.67269 0.88567 0.54019 11.67269 1364 −0.85671 −0.83639 11.67269 0.79053 0.49587 11.67269 1365 −0.77586 −0.76573 11.67269 0.69279 0.44763 11.67269 1366 −0.69136 −0.69319 11.67269 0.59257 0.39538 11.67269 1367 −0.60311 −0.61891 11.67269 0.48998 0.33900 11.67269 1368 −0.51104 −0.54302 11.67269 0.38515 0.27835 11.67269 1369 −0.41817 −0.46812 11.67269 0.28163 0.21551 11.67269 1370 −0.32450 −0.39420 11.67269 0.17936 0.15065 11.67269 1371 −0.23009 −0.32125 11.67269 0.07835 0.08384 11.67269 1372 −0.13492 −0.24927 11.67269 −0.02139 0.01516 11.67269 1373 −0.03904 −0.17826 11.67269 −0.11992 −0.05526 11.67269 1374 0.05743 −0.10805 11.67269 −0.21725 −0.12732 11.67269 1375 0.15452 −0.03869 11.67269 −0.31337 −0.20099 11.67269 1376 0.25236 0.02961 11.67269 −0.40819 −0.27632 11.67269 1377 0.35105 0.09667 11.67269 −0.50163 −0.35336 11.67269 1378 0.45069 0.16231 11.67269 −0.59365 −0.43209 11.67269 1379 0.55132 0.22641 11.67269 −0.68425 −0.51246 11.67269 1380 0.64957 0.28683 11.67269 −0.77045 −0.59167 11.67269 1381 0.74534 0.34366 11.67269 −0.85241 −0.66949 11.67269 1382 0.83857 0.39695 11.67269 −0.93032 −0.74572 11.67269 1383 0.92920 0.44674 11.67269 −1.00434 −0.82013 11.67269 1384 1.01717 0.49308 11.67269 −1.07461 −0.89257 11.67269 1385 1.10241 0.53603 11.67269 −1.14128 −0.96287 11.67269 1386 1.18485 0.57568 11.67269 −1.20450 −1.03086 11.67269 1387 1.26440 0.61213 11.67269 −1.26437 −1.09646 11.67269 1388 1.33365 0.64236 11.67269 −1.31827 −1.15657 11.67269 1389 1.39607 0.66836 11.67269 −1.36640 −1.21100 11.67269 1390 1.45521 0.69186 11.67269 −1.40890 −1.25965 11.67269 1391 1.51102 0.71293 11.67269 −1.44840 −1.30554 11.67269 1392 1.55966 0.73045 11.67269 −1.48231 −1.34558 11.67269 1393 1.59722 0.74353 11.67269 −1.50820 −1.37656 11.67269 1394 1.62734 0.75379 11.67269 −1.52842 −1.40174 11.67269 1395 1.64997 0.76137 11.67269 −1.54242 −1.42150 11.67269 1396 1.66696 0.76699 11.67269 −1.55143 −1.43726 11.67269 1397 1.67994 0.77189 11.67269 −1.55517 −1.44662 11.67269 1398 1.68494 0.77795 11.67269 −1.55633 −1.45296 11.67269 1399 1.68611 0.78255 11.67269 −1.55592 −1.45614 11.67269 1400 1.68611 0.78454 11.67269 −1.55518 −1.45757 11.67269

It is noted that the first column of TABLE I lists X coordinate values of the pressure side at each respective Z coordinate value of the third column, the second column lists Y coordinate values of the pressure side at each respective Z coordinate value of the third column, the fourth column lists X coordinate values of the suction side at each respective Z coordinate value of the sixth column, and the fifth column lists Y coordinate values of the suction side at each respective Z coordinate value of the sixth column. The Z coordinate values of the third column and the sixth column are equal to each other for each respective row. As set forth in TABLE I, at each respective Z coordinate value, the airfoil shape 110 of the airfoil 82 (e.g., a cross-sectional profile taken through line 6-6 of FIGS. 3, 4, and 5) is defined by multiple sets of Cartesian coordinate values of X, Y, and Z for both the suction side 62 (e.g., suction side profile 112) and the pressure side 64 (e.g., pressure side profile 114). For example, at each respective Z coordinate value, the suction side profile 112 of the suction side 62 may be defined by at least equal to or greater than 10, 15, 20, 25, 30, 35, 40, 45, 50, or 55 (e.g., 56) sets of Cartesian coordinate values of X, Y, and Z. Similarly, at each respective Z coordinate value, the pressure side profile 114 of the pressure side 64 may be defined by at least equal to or greater than 10, 15, 20, 25, 30, 35, 40, 45, 50, or 55 (e.g., 56) sets of Cartesian coordinate values of X, Y, and Z. Furthermore, in the Z direction along the Z axis 74, the airfoil profile of the airfoil 82 may be defined by multiple sets of Cartesian coordinate values of X, Y, and Z at multiple Cartesian coordinate values of Z, such as at least equal to or greater than 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z.

As noted above, the Cartesian coordinate values of X, Y, and Z as set forth in TABLE I may be non-dimensional values convertible to dimensional distances. For example, the Cartesian coordinate values of X, Y, and Z may be multiplied by a scale factor F (e.g., F equal to 1, greater than 1, or less than 1) to obtain the desired dimensional distances. In certain embodiments, a nominal airfoil profile of the airfoil 82 may be partially or entirely (e.g., all or part of the suction side 62, all or part of the pressure side 64, or a combination thereof) defined by the Cartesian coordinate values of X, Y, and Z as set forth in TABLE I. The nominal airfoil profile of the airfoil 82 also may be covered by the coating 120, which increases the X and Y values as set forth in TABLE I.

For example, the airfoil 82 may include a first suction portion (e.g., 80) of the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side 62 as set forth in TABLE I, wherein the X and Y values of the suction side 62 are coordinate values that couple together (e.g., in a smooth continuous and/or curved manner) to define suction side sections of the first suction portion (e.g., 80) of the nominal airfoil profile at each Z coordinate value, and the suction side sections of the first suction portion (e.g., 80) of the nominal airfoil profile are coupled together (e.g., in a smooth continuous and/or curved manner) to define the first suction portion (e.g., 80). In such an embodiment, the airfoil 82 has an airfoil length L along the Z axis 74, and the first suction portion (e.g., 80) comprises a first portion length l along the Z axis as illustrated and described above with reference to FIG. 4. The first portion length l is less than or equal to the airfoil length L. The first portion length l may include greater than or equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z (e.g., consecutive values of Z) in TABLE I. The first portion length l may be equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 99, or 100 percent of the airfoil length L.

By further example, the airfoil 82 may include a second suction portion (e.g., 80) of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side 62 as set forth in TABLE I, wherein the X and Y values of the suction side 62 are coordinate values that couple together (e.g., in a smooth continuous and/or curved manner) to define suction side sections of the second suction portion (e.g., 80) of the nominal airfoil profile at each Z coordinate value, the suction side sections of the second suction portion (e.g., 80) of the nominal airfoil profile are coupled together (e.g., in a smooth continuous and/or curved manner) to define the second suction portion (e.g., 80). In such an embodiment, the second suction portion (e.g., 80) has a second portion length l along the Z axis, the second portion length l is less than or equal to the airfoil length L, and the first and second suction portions (e.g., 80, 102, 104, 106) are offset from one another along the Z axis as illustrated and described above with reference to FIGS. 4 and 5. Again, the second portion length l may include greater than or equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z (e.g., consecutive values of Z) in TABLE I. The second portion length l may be equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 99, or 100 percent of the airfoil length L. Furthermore, the first and second suction portions (e.g., 80, 102, 104, 106) may be separated by an offset distance of equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, or 90 percent of the airfoil length L.

By further example, the airfoil 82 may include a first pressure portion (e.g., 80) of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the pressure side 64 as set forth in TABLE I, wherein the X and Y values of the pressure side 64 are coordinate values that couple together (e.g., in a smooth continuous and/or curved manner) to define pressure side sections of the first pressure portion (e.g., 80) of the nominal airfoil profile at each Z coordinate value, the pressure side sections of the first pressure portion (e.g., 80) of the nominal airfoil profile are coupled together (e.g., in a smooth continuous and/or curved manner) to define the first pressure portion (e.g., 80). In such an embodiment, the first pressure portion (e.g., 80) comprises a second portion length l along the Z axis, and the second portion length l is less than or equal to the airfoil length L as illustrated and described above with reference to FIG. 4. Similar to the first suction portion (e.g., 80), the second portion length l of the first pressure portion (e.g., 80) may include greater than or equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z (e.g., consecutive values of Z) in TABLE I. The second portion length l of the first pressure portion (e.g., 80) may be equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 99, or 100 percent of the airfoil length L. In certain embodiments, the first suction portion (e.g., 80) and the first pressure portion (e.g., 80) at least partially overlap with one another along the Z axis.

For example, in certain embodiments, the first and second portion lengths l may be substantially the same, and the first and second portion lengths l may start at a common distance d relative to the base 60 of the airfoil 82 and extend toward the tip 68 of the airfoil 82. However, in some embodiments, the first and second portion lengths l may be different from one another, the first and second portion lengths l may start at different distances d relative to the base 60 of the airfoil 82, or a combination thereof. Additionally, the airfoil 82 may include a second pressure portion (e.g., 80) of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the pressure side 64 as set forth in TABLE I, wherein the first and second pressure portions (e.g., 80, 102, 104, 106) are offset from one another along the Z axis 74.

Technical effects of the disclosed embodiments include an airfoil having a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil includes an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances (e.g., instances in inches or mm).

This written description uses examples to disclose the subject matter, including the best mode, and also to enable any person skilled in the art to practice the subject matter, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the subject matter is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal language of the claims. 

1. A system comprising: an airfoil comprising a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil comprises an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.
 2. The system of claim 1, wherein the airfoil comprises a second suction portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to the maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the second suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the second suction portion of the nominal airfoil profile are coupled together to define the second suction portion, the second suction portion comprises a second portion length along the Z axis, the second portion length is less than or equal to the airfoil length, and the first and second suction portions are offset from one another along the Z axis.
 3. The system of claim 1, wherein the airfoil comprises a first pressure portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of a pressure side as set forth in TABLE I to the maximum of three decimal places, wherein the X and Y values of the pressure side are coordinate values that couple together to define pressure side sections of the first pressure portion of the nominal airfoil profile at each Z coordinate value, the pressure side sections of the first pressure portion of the nominal airfoil profile are coupled together to define the first pressure portion, the first pressure portion comprises a second portion length along the Z axis, and the second portion length is less than or equal to the airfoil length.
 4. The system of claim 3, wherein the first suction portion and the first pressure portion at least partially overlap with one another along the Z axis; and wherein the first and second portion lengths are substantially the same, and the first and second portion lengths start at a common distance relative to a base of the airfoil and extend toward a tip of the airfoil.
 5. The system of claim 1, wherein the first portion length of the first suction portion starts at a distance relative to a base of the airfoil and extends toward a tip of the airfoil; and wherein the first portion length includes greater than or equal to two consecutive Cartesian coordinate values of Z in TABLE I.
 6. The system of claim 1, wherein the first portion length is equal to or greater than 10 percent of the airfoil length.
 7. The system of claim 1, wherein the first portion length is equal to or greater than 25 percent of the airfoil length.
 8. The system of claim 1, wherein the first portion length is equal to or greater than 50 percent of the airfoil length.
 9. The system of claim 1, wherein the first portion length is equal to or greater than 75 percent of the airfoil length.
 10. The system of claim 1, wherein the first portion length is equal to 100 percent of the airfoil length.
 11. The system of claim 1, wherein the airfoil comprises the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to the maximum of three decimal places along an entirety of both the suction side and a pressure side of the airfoil.
 12. The system of claim 1, wherein the airfoil comprises a coating disposed over the first suction portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to the maximum of three decimal places; and wherein the coating increases the X and Y values of the suction side in TABLE I to the maximum of three decimal places by no greater than approximately 3.5 mm along the first suction portion.
 13. The system of claim 1, comprising a plurality of compressor airfoils of a compressor stage, wherein each of the plurality of compressor airfoils comprises the airfoil having the first suction portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to the maximum of three decimal places.
 14. The system of claim 1, comprising a gas turbine engine having a compressor, a combustor, and a turbine; wherein the compressor comprises the airfoil.
 15. The system of claim 1, wherein the airfoil is a first stage compressor airfoil.
 16. The system of claim 15, wherein the airfoil is a compressor stator vane.
 17. The system of claim 1, wherein the airfoil comprises the first suction portion of the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of four decimal places.
 18. The system of claim 1, wherein the airfoil comprises the first suction portion of the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of five decimal places.
 19. A system comprising: an airfoil comprising a suction side of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the suction side of the nominal airfoil profile at each Z coordinate value, the suction side sections of the suction side of the nominal airfoil profile are coupled together to define the suction side, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.
 20. A system comprising: an airfoil comprising a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values are coordinate values that couple together to define airfoil sections of the nominal airfoil profile at each Z coordinate value, the airfoil sections of the nominal airfoil profile are coupled together to define an entirety of the airfoil, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances. 